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 Jourmals

  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 approchable 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, Encyclopaedia 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(2) (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, J.K. Udupa, and Y. Zhuge, Affinity functions in fuzzy connectedness based image segmentation, MIPG Technical Report #334.
  102. K.C. Ciesielski, J.K. Udupa, and Y. Zhuge, A general theory of image segmentation for comparing different methods: Its use in studying equivalences between level set and fuzzy connectedness frameworks, MIPG Technical Report #335.

  103. K.C. Ciesielski, J.K. Udupa, and Y. Zhuge, Remarks on strongest fuzzy connectedness segmentations, MIPG Technical Report #336.
  104. K.C. Ciesielski, J.K. Udupa, and G. Grevera, Linear time distance transform algorithm, MIPG Technical Report #337.
  105. K.C. Ciesielski and J.K. Udupa, A general theory of image segmentation II: multiregion competition in different frameworks, MIPG Technical Report #338.


Selected 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. [version of paper #102 ] 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.