Krzysztof Ciesielski's



List of Publications


All authors are listed in alphabetical order unless my name, KC, is specifically marked.


Books

  1. (with L. Larson and K. Ostaszewski) I-density continuous functions, Memoirs of the AMS vol. 107 no 515, 1994; MR 94f:54035.
  2. Set Theory for the Working Mathematician, London Math. Soc. Stud. Texts 39, Cambridge Univ. Press 1997; MR 99c:04001.
  3. (with J. Pawlikowski) Covering Property Axiom CPA. A combinatorial core of the iterated perfect set model, Cambridge Tracts in Mathematics 164, Cambridge Univ. Press, 2004; MR 2006f:03002.



Articles in Research Journals

  1. Threshold logic, Polish Acad. Sci. Inst. Philos. Sociol. Bull. Sect. Logic 7(3) (1978), 107-114; MR 81d:03029.
  2. Generalized threshold logic, Bull. Polish Acad. Sci. Math. 28(5-6) (1980), 219-228; MR 82d:03035.
  3. On the netweight of subspaces, Fund. Math. 117(1) (1983), 37-46; MR 85h:54004.
  4. The topologies generated by graphs, Proc. of Jadwisin Conference in 1981, University of Leeds Press 1983, 67-92.
  5. (with R. Pol) A weakly Lindelof function space C(K) without any continuous injection into c0(Gamma), Bull. Polish Acad. Sci. Math. 32(11-12) (1984), 681-688; MR 86j:54031.
  6. (with F. Galvin) Cylinder problem, Fund. Math. 127(3) (1987), 171-176; MR 89e:03079.
  7. (with A. Pelc) Extensions of invariant measures on Euclidean spaces, Fund. Math. 125(1) (1985), 1-10; MR 87c:28017.
  8. (with W. Guzicki) Generic families and models of set theory with the Axiom of Choice, Proc. Amer. Math. Soc. 106(1) (1989), 199-206; MR 90k:03035.
  9. L-spaces without any uncountable 0-dimensional subspace, Fund. Math. 125(3) (1985), 231-235; MR 87d:54052.
  10. Martin's Axiom and a regular topological space with uncountable net weight whose countable product is hereditarily separable and hereditarily Lindelof, J. Symbolic Logic 52(2) (1987), 396-399; MR 89d:03047.
  11. A short ordered commutative domain whose quotient field is not short, Algebra Universalis 25(1) (1988), 1-6; MR 89d:06035.
  12. How good is the Lebesgue measure?, Math. Intelligencer 11(2) (1989), 54-58; MR 90a:28001.
  13. (with K. Cios and L. S. Goodenday) A recognition method for coronary artery stenoses, in Computers in Cardiology, 123-126. Louven, Belgium, 1987: IEEE Computer Society 1988.
  14. Algebraically invariant extensions of sigma-finite measures on Euclidean spaces, Trans. Amer. Math. Soc. 318(1) (1990), 261-273; MR 90f:28010.
  15. (with L. Larson) The space of density continuous functions, Acta Math. Hungar. 58(3-4) (1991), 289-296; MR 92m:26004.
  16. (with R. Laver) A game of D. Gale in which one of the players has limited memory, Period. Math. Hungar. 22(2) (1990), 153-158; MR 92d:90137.
  17. (with L. Larson and K. Ostaszewski) Density continuity versus continuity, Forum Math. 2(3) (1990), 265-275; MR 91c:26003.
  18. (with L. Larson and K. Ostaszewski) Differentiability and density continuity, Real Anal. Exchange 15(1) (1989-90), 239-247; MR 91b:26007.
  19. 22omega non-isomorphic short ordered commutative domains whose quotient fields are long, Proc. Amer. Math. Soc. 113(1) (1991), 217-227; MR 91k:03125.
  20. (with L. Larson) Level sets of density continuous functions, Proc. Amer. Math. Soc. 116(4) (1992), 963-969; MR 93d:26004.
  21. Isometrically invariant extensions of Lebesgue measure, Proc. Amer. Math. Soc. 110(3) (1990), 799-801; MR 91c:28012.
  22. (with L. Larson) The density topology is not generated, Real Anal. Exchange 16(2) (1990-91), 522-525; MR 92d:26004.
  23. Remarks about connected spaces, Questions Answers Gen. Topology 10(2) (1992), 181-185; MR 93g:54031.
  24. (with L. Larson) Refinements of the density and I-density topologies, Proc. Amer. Math. Soc. 118(2) (1993), 547-553; MR 93g:26018.
  25. (with L. Larson) Baire classification of I-approximately and I-density continuous functions, Forum Math. 7(4) (1995), 405-417; MR 96e:26004.
  26. (with L. Larson) Category theorems concerning I-density continuous functions, Fund. Math. 140(1) (1991), 79-85; MR 92m:54067.
  27. (with L. Larson) Various continuities with the density and I-density topologies, Real Anal. Exchange 17(1) (1991-92), 183-210; MR 93b:26006.
  28. (with L. Larson and K. Ostaszewski) Semigroups of I-density continuous functions, Semigroup Forum 45(2) (1992), 191-204; MR 93i:26004.
  29. (with L. Larson) Analytic functions are I-density continuous, Comment. Math. Univ. Carolin. 35(4) (1994), 645-652; MR 96e:26031.
  30. Density-to-deep-I-density continuous functions, Real Anal. Exchange 17(1) (1991-92), 171-182; MR 93b:26005.
  31. Density and I-density continuous homeomorphisms, Real Anal. Exchange 18(2) (1992-93), 367-384; MR 94g:26001.
  32. (with L. Larson) The Peano curve and I-approximate differentiability, Real Anal. Exchange 17(2) (1991-92), 608-621; MR 93g:26003.
  33. Topologizing different classes of real functions, Canad. J. Math. 46(6) (1994), 1188-1207; MR 96e:54031.
  34. Linear subspace of Rlambda without dense totally disconnected subset, Fund. Math. 142(1) (1993), 85-88; MR 93k:54010.
  35. (with S. Nadler, Jr.) An absorption property for the composition of functions, Real Anal. Exchange 18(2) (1992-93), 420-426; MR 94f:54027.
  36. (with L. Larson) Uniformly antisymmetric functions, Real Anal. Exchange 19(1) (1993-94), 226-235; MR 95a:26003.
  37. (with W. Wilczynski) Density continuous transformations on R2, Real Anal. Exchange 20(1) (1994-95), 102-118; MR 96c:26018.
  38. On range of uniformly antisymmetric functions, Real Anal. Exchange 19(2) (1993-94), 616-619; MR 95d:26019.
  39. (with J. Jasinski) Topologies with prescribed nowhere dense sets, Topology Appl. 63(3) (1995), 277-298; MR 96f:54035.
  40. Ordinary and strong density continuity of complex analytic functions, Period. Math. Hungar. 31(1) (1995), 11-20; MR 96h:26015.
  41. Uniformly antisymmetric functions and K5, Real Anal. Exchange 21(1) (1995-96), 147-153; MR 97c:26008.
  42. (with A. W. Miller) Cardinal invariants concerning functions whose sum is almost continuous, Real Anal. Exchange 20(2) (1994-95), 657-672; MR 96h:26003.
  43. (with D. Dikranjan) Uniformly approachable maps, Topology Proc. 20 (1995), 75-89; MR 98e:54018.
  44. (with I. Reclaw) Cardinal invariants concerning extendable and peripherally continuous functions, Real Anal. Exchange 21(2) (1995-96), 459-472; MR 97f:26003.
  45. Sum and difference free partitions of vector spaces, Colloq. Math. 71(2) (1996), 263-271; MR 97f:26003.
  46. (with M. Burke) Sets on which measurable functions are determined by their range, Canad. J. Math. 49(6) (1997) 1089-1116; MR~99i:28004.
  47. (with M. Balcerzak and T. Natkaniec) Sierpinski-Zygmund functions that are Darboux, almost continuous, or have a perfect road, Arch. Math. Logic 37(1) (1997), 29-35; MR 98k:26005.
  48. Density Topology, Encyclopedia of Mathematics, Supplement vol.1, Kluwer Acad. Pub., Amsterdam, 1997, 219-220.
  49. (with A. Maliszewski) Cardinal invariants concerning bounded families of extendable and almost continuous functions, Proc. Amer. Math. Soc. 126(2) (1998), 471-479; MR 98d:26001.
  50. (with T. Natkaniec) Algebraic properties of the class of Sierpinski-Zygmund functions, Topology Appl. 79(1) (1997), 75-99; MR 99c:04003.
  51. (with J. Wojciechowski) Sums of connectivity functions on Rn, Proc. London Math. Soc. 76(2) (1998), 406-426; MR 98k:26023.
  52. (with M. Szyszkowski) A symmetrically continuous function which is not countably continuous, Real Anal. Exchange 22(1) (1996-97), 428-432; MR 97h:26002.
  53. (with D. Dikranjan and S. Watson) Functions characterized by images of sets, Colloq. Math. 77(2) (1998), 211-232; MR 99f:54013.
  54. Characterizing derivatives by preimages of sets, Real Anal. Exchange 23(2) (1997-98), 553-565; MR 99m:26004.
  55. (with T. Natkaniec) Darboux like functions that are characterizable by images, preimages and associated sets, Real Anal. Exchange 23(2) (1997-98), 441-457; MR 2000f:26008.
  56. Set Theoretic Real Analysis, J. Appl. Anal. 3(2) (1997), 143-190; MR 99k:03038.
  57. (with D. Banaszewski) Compositions of two additive almost continuous functions, Real Anal. Exchange 23(1) (1997-98), 193-202; MR 99f:26003.
  58. (with S. Shelah) A model with no magic set, J. Symbolic Logic 64(4) (1999), 1467-1490; MR 2001h:03094.
  59. Some additive Darboux-like functions, J. Appl. Anal. 4(1) (1998), 43-51; MR 99i:26002.
  60. (with M. R. Burke) Sets of range uniqueness for classes of continuous functions, Proc. Amer. Math. Soc. 127(11) (1999), 3295--3304; MR 2000b:26003.
  61. (with T. Natkaniec) On Sierpinski-Zygmund bijections and their inverses, Topology Proc. 22 (1998), 155-164; MR 99k:26001.
  62. Decomposing symmetrically continuous and Sierpinski-Zygmund functions into continuous functions, Proc. Amer. Math. Soc. 127(12) (1999), 3615--3622; MR 2000h:26006.
  63. (with M. Balcerzak) On sup-measurable functions problem, Real Anal. Exchange 23(2) (1997-98), 787-797; MR 2000f:28003.
  64. (with T. Natkaniec and J. Wojciechowski) Extending connectivity functions on Rn, Topology Appl. 112(2) (2001), 193-204; MR 2001m:26024.
  65. (with R. G. Gibson and T. Natkaniec) K-to-1 Darboux-like functions, Real Anal. Exchange 23(2) (1997-98), 671-687; MR 99f:26004.
  66. (with J. Jastrzebski) Darboux-like functions within the classes of Baire one, Baire two, and additive functions, Topology Appl. 103(2) (2000), 203--219; MR 2001g:26001.
  67. (with A. Roslanowski) Two examples concerning almost continuous functions, Topology Appl. 103(2) (2000), 187--202. MR 2001b:26001.
  68. (with K. Kellum) Compositions of Darboux and connectivity functions, Real Anal. Exchange 24(2) (1998-99), 599-605; MR 2000f:26003.
  69. (with S. Shelah) Uniformly antisymmetric function with bounded range, Real Anal. Exchange 24(2) (1998-99), 615-619; MR 2000f:26004.
  70. (with M. Balcerzak and D. Rogowska) Remarks on meager \Sigma^0_2-supported \sigma-ideals on the real line, Tatra Mt. Math. Publ. 19(2) (2000), 187-192; MR 2001e:54052.
  71. (with D. Dikranjan) Between continuous and uniformly continuous functions on Rn, Topology Appl. 114(3) (2001), 311-325; MR 2002c:54011.
  72. (with J. Wojciechowski) Topological Dimension and Sums of Connectivity Functions, Topology Appl. 112(2) (2001), 181-191; MR 2001k:54057.
  73. (with S. Shelah) Category analog of sup-measurability problem, J. Appl. Anal. 6(2) (2000), 159-172; MR 2002a:03096.
  74. (with R. C. Flagg and Ralph Kopperman) Characterizing topologies with bounded complete computational models, Electron. Notes Theor. Comput. Sci. 20 (1999). URL: http://www.elsevier.nl/locate/entcs/volume20.html 11 pages. MR 2001b:06033.
  75. (with H. Rosen) Two examples concerning extendable and almost continuous functions, Real Anal. Exchange 25(2) (1999-2000), 579-598; MR 2001h:26002.
  76. (with R. C. Flagg and Ralph Kopperman) Polish spaces, computer approximation, and cocompact quasimetrizability, Topology Appl. 119(3) (2002), 241--256; MR 2003a:54032.
  77. KC, J. P. Sacha, and K. J. Cios, Synthesis of Feedforward Networks in Supremum Error Bound, IEEE Trans. on Neural Networks 11(6) (2000), 1213-1227.
  78. (with M. Balcerzak and A. Bartoszewicz) On Marczewski-Burstin representations of certain algebras of sets, Real Anal. Exchange 26(2) (2000-2001), 581-591; MR 2002e:03078.
  79. (with K. Muthuvel and A. Nowik) On nowhere weakly symmetric functions and functions with two-element range, Fund. Math. 168(2) (2001), 119-130; MR 2002f:26003.
  80. (with J. Pawlikowski) On sums of Darboux and nowhere constant continuous functions, Proc. Amer. Math. Soc. 130(7) (2002), 2007-2013; MR 2003a:26003.
  81. (with J. Pawlikowski) On the cofinalities of Boolean algebras and the ideal of null sets, Algebra Universalis 47(2) (2002), 139-143; MR 2003d:06018.
  82. (with J. Pawlikowski) Small combinatorial cardinal characteristics and theorems of Egorov and Blumberg, Real Anal. Exchange 26(2) (2000-2001), 905-911; MR 2002m:26001.
  83. (with J. Pawlikowski) Crowded and selective ultrafilters under the Covering Property Axiom, J. Appl. Anal. 9(1) (2003), 19-55; MR 2005c:03091.
  84. (with J. Pawlikowski) Small coverings with smooth functions under the Covering Property Axiom, Canad. J. Math. 57(3) (2005), 471-493; MR 2006c:03075.
  85. Measure zero sets whose algebraic sum is non-measurable, Real Anal. Exchange 26(2) (2000-2001), 919-922; MR 2002e:28001.
  86. Generalized continuities, in: Encyclopedia of General Topology (K.P. Hart, J.I. Nagata, and J.E. Vaughan, eds.), Elsevier, (2004), 126-130.
  87. (with A. Bartoszewicz) MB-representations and topological algebras, Real Anal. Exchange 27(2) (2001-2002), 749-755; MR 2003f:54065. Errata, Real Anal. Exchange 29(1) (2002-2003), 7-8; MR 2005a:54041.
  88. (with J. Pawlikowski) Covering Property Axiom CPAcube and its consequences, Fund. Math. 176(1) (2003), 63-75; MR 2004b:03076.
  89. (with H. Fejzic and C. Freiling) Measure zero sets with non-measurable sum, Real Anal. Exchange 27(2) (2001-2002), 783-793; MR 2003f:28004.
  90. (with A. Millán and J. Pawlikowski) Uncountable \gamma-sets under axiom CPAcubegame, Fund. Math. 176(1) (2003), 143-155; MR 2004b:03077.
  91. (with T. Natkaniec) A big symmetric planar set with small category projections, Fund. Math. 178(3) (2003), 237-253; MR 2004m:03177.
  92. (with J. Pawlikowski) Nice Hamel bases under the Covering Property Axiom, Acta Math. Hungar. 105(3) (2004), 197-213; MR 2005f:26007.
  93. (with M. Laczkovich) Strong Fubini properties for measure and category, Fund. Math. 178(2) (2003), 171-188; MR 2005a:28002.
  94. (with M. Balcerzak and A. Bartoszewicz) Algebras with inner MB-representation, Real Anal. Exchange 29(2) (2003-2004), 265-273; MR 2005c:06010.
  95. (with L. Bukovsky) Spaces on which every pointwise convergent series of continuous functions converges pseudo-normally, Proc. Amer. Math. Soc. 133(2) (2005), 605-611; MR 2005h:54037.
  96. (with J. Pawlikowski) Uncountable intersections of open sets under CPAprism, Proc. Amer. Math. Soc. 132(11) (2004), 3379-3385; MR 2005c:03094.
  97. (with J. Pawlikowski) On additive almost continuous functions under CPAprismgame, J. Appl. Anal. 11(2) (2005), 153--170; MR 2006i:03079.
  98. (with A. Millán) Separately nowhere constant functions; n-cube and \alpha-prism densities, J. Appl. Anal. 11(1) (2005), 49-62; MR 2006a:03070.
  99. (with J. Pawlikowski) Continuous images of big sets and additivity of s0 under CPAprism, Real Anal. Exchange 29(2) (2003-2004), 755-762; MR 2005f:03075.

  100. K.C. Ciesielski, J. K. Udupa, P. K. Saha, Y. Zhuge, Iterative relative fuzzy connectedness for multiple objects with multiple seeds, Computer Vision and Image Understanding 107(3), (2007), 160-182.
  101. K.C. Ciesielski and J.K. Udupa, Affinity functions in fuzzy connectedness based image segmentation I: Equivalence of affinities, Computer Vision and Image Understanding 114, (2010), 146-154.
  102. K.C. Ciesielski and J.K. Udupa, Affinity functions in fuzzy connectedness based image segmentation II: Defining and recognizing truly novel affinities, Computer Vision and Image Understanding 114, (2010), 155-166.
  103. K.C. Ciesielski and J.K. Udupa, A framework for comparing different image segmentation methods and its use in studying equivalences between level set and fuzzy connectedness frameworks, Computer Vision and Image Understanding 115 (2011), 721-734.
  104. K.C. Ciesielski, X. Chen, J.K. Udupa, and G. Grevera, Linear time algorithm for exact distance transform, Journal of Mathematical Imaging and Vision 39(3) (2011), 193-209.
  105. K.C. Ciesielski and J.K. Udupa, Region-based segmentation: fuzzy connectedness, graph cut, and other related algorithms, in Biomedical Image Processing (Thomas M. Deserno, editor), Springer-Verlag, 2011, 251-278.
  106. K.C. Ciesielski, J.K. Udupa, A.X. Falcao, and P.A.V. Miranda, Fuzzy Connectedness image segmentation in Graph Cut formulation: A linear-time algorithm and a comparative analysis, Journal of Mathematical Imaging and Vision 44(3) (2012), 375-398.
  107. K.C. Ciesielski and T. Nishura, Continuous and smooth images of sets, Real Anal. Exchange 37(2) (2012), 305-313.
  108. K.C. Ciesielski and T. Glatzer, Functions continuous on twice differentiable curves, discontinuous on large sets, Real Anal. Exchange 37(2) (2012), 353-361.
  109. K.C. Ciesielski and T. Glatzer, Sets of Discontinuities of Linearly Continuous Functions, Real Anal. Exchange, to appear.
  110. Y. Zhuge, K.C. Ciesielski, J.K. Udupa, and R.W. Miller, GPU-Based Relative Fuzzy Connectedness Image Segmentation, Medical Physics 40(1), 011903 (2013), pp. 1-10; http://dx.doi.org/10.1118/1.4769418.
  111. R. Strand, K.C. Ciesielski, F. Malmberg, and P.K. Saha, The minimum barrier distance, Computer Vision and Image Understanding 117(4) (2013), 429-437.
  112. K.C. Ciesielski and J. Jasinski, Smooth Peano functions for perfect subsets of the real line, Real Anal. Exchange, to appear.
  113. K.C. Ciesielski, P.A.V. Miranda, A.X. Falcao, and J.K. Udupa, Joint graph cut and relative fuzzy connectedness image segmentation algorithm, Medical Image Analysis, to appear.
Submitted Papers
  1. K.C. Ciesielski, Separately continuous functions on Rn: from Cauchy mistake, through Lebesgue contributions, to contemporary results, submitted.

  2. K.C. Ciesielski and J. Rosenblatt, Restricted continuity and a theorem of Luzin, submitted.
  3. K.C. Ciesielski, R. Strand, F. Malmberg, and P.K. Saha, Efficient algorithm for finding the exact minimum barrier distance, submitted.
  4. K.C. Ciesielski and T. Glatzer, Sets of discontinuities for functions continuous on flats, submitted.

Stand-alone (currently) Conference Proceedings Papers
  1. [publication #4 ] K. Ciesielski, The topologies generated by graphs, Proc. of Jadwisin Conference in 1981, University of Leeds Press 1983, 67-92.
  2. [publication #13 ] K. Ciesielski, K. Cios, and L. S. Goodenday, A recognition method for coronary artery stenoses, in Computers in Cardiology, 123-126. Louven, Belgium, 1987: IEEE Computer Society 1988.
  3. J.K. Udupa, D. Odhner, A.X. Falcao, K.C. Ciesielski, P.A.V. Miranda, P. Vaideeswaran, S. Mishra, G.J. Grevera, B. Saboury, and D.A. Torigian, Fuzzy Object Modeling, Medical Imaging 2011: Image Processing, SPIE Proceedings 7964, 2011.
  4. J.K. Udupa, D. Odhner, A.X. Falcao, Krzysztof Chris Ciesielski, P.A.V. Miranda, M. Matsumoto, G.J. Grevera, B. Saboury, and D.A. Torigian, Automatic anatomy recognition via fuzzy object models, Medical Imaging 2012: Image Processing, SPIE Proceedings 8316, 2012.
  5. Krzysztof Chris Ciesielski, J.K. Udupa, D. Odhner, and Liming Zhao, Fuzzy model based object delineation via energy minimization, Medical Imaging 2013: Image Processing, SPIE Proceedings 8669, 2013, pp. 86693H-1--86693H-9.
  6. J.K. Udupa, D. Odhner, M. Matsumoto, Y. Tong, K.C. Ciesielski, P. Vaideeswaran, V. Ciesielski, B. Saboury, L. Zhao, S. Mohammadianrasanani, D.A. Torigian, Fuzzy-Model-Based Body-wide Anatomy Recognition in Medical Images, Medical Imaging 2013, SPIE Proceedings 8671, 2013, pp. 86712B-1--86712B-7.

Conference Proceedings Papers associated with published journal papers
  1. [version of papers #101 and #102 ] K.C. Ciesielski and J.K. Udupa, Affinity functions: recognizing essential parameters in fuzzy connectedness based image segmentation, Medical Imaging 2009: Image Processing, SPIE Proceedings 7259, 2009.
  2. [version of paper #103 ] K.C. Ciesielski and J.K. Udupa, A general theory of image segmentation: level set segmentation in the fuzzy connectedness framework, Medical Imaging 2007: Image Processing, SPIE Proceedings 6512, 2007.
  3. [version of paper #104 ] K.C. Ciesielski, J.K. Udupa, X. Chen, and G. Grevera, Linear time algorithms for exact distance transform: elaboration on Maurer et al. algorithm, Medical Imaging 2009: Image Processing, SPIE Proceedings 7259, 2009.
  4. [version of a part of paper #106 ] K.C. Ciesielski, J.K. Udupa, A.X. Falcao, and P.A.V. Miranda, Comparison of fuzzy connectedness and graph cut segmentation algorithms, Medical Imaging 2011: Image Processing, SPIE Proceedings 7962, 2011.
  5. [version of another part of paper #106 ] K.C. Ciesielski, J.K. Udupa, A.X. Falcao, and P.A.V. Miranda, A unifying graph-cut image segmentation framework: algorithms it encompasses and equivalences among them, Medical Imaging 2012: Image Processing, SPIE Proceedings 8314, 2012.
  6. [version of this journal paper] Y. Zhuge, J.K. Udupa, K.C. Ciesielski, A.X. Falcao, P.A.V. Miranda, and R.W. Miller, GPU-Based Iterative Relative Fuzzy Connectedness Image Segmentation, Medical Imaging 2012: Image Processing, SPIE Proceedings 8316, 2012.
  7. [version of this journal paper] K.C. Ciesielski, P.A.V. Miranda, J.K. Udupa, A.X. Falcao, Image segmentation by combining the strengths of relative fuzzy connectedness and graph cut, 19th IEEE International Conference on Image Processing 2012, ICIP Proceedings, (2012), 2005-2008.