Electronic Version 19 (1994), 199-213

Sam B. Nadler, Jr. and Bob Pierce

Let X be a nondegenerate continuum that is semi-locally-connected (slc) or aposyndetic at each non-cut (= non-separating) point. It is shown that if X contains only finitely many nondegenerate, mutually non-homeomorphic subcontinua, then X is a graph. Even though a continuum may be slc at each non-cut point without being slc at every point, it is shown that a continuum which is aposyndetic at each non-cut point must be aposyndetic at every point.

• AtlasImage format
• HTML version (with inline images)
• DVI file
• PostScript file

volume 19: table of contents
topology proceedings Electronic Version