Almost continuous images of R and infty-ods


Francis Jordan

Topology Proceedings, to appear; 9 pages

We investigate conditions under which almost Peano continua contain dense arc components. These conditions involve the existence of almost continuous functions from the real line onto continua and excluding infty-ods from continua. It is also shown that a topological space of cardinality less than or equal to continuum which has a dense path component is the almost continuous image of the real line.

LaTeX 2e source file.

Last modified December 6, 2000.