Document Type
Conference Proceeding
Language
eng
Format of Original
7 p.
Publication Date
1-2009
Publisher
Topology Proceedings
Source Publication
Topology Proceedings
Source ISSN
0146-4124
Abstract
We show that a compactum is locally connected if and only if every semimonotone mapping onto it is also monotone. If we put open in place of monotone, we obtain the finite compacta; if we put in confluent, we obtain a large class of compacta, the connected members of which are connected im kleinen at each of their cut points.
Recommended Citation
Bankston, Paul, "Defining Topological Properties via Interactive Mapping Classes" (2009). Mathematics, Statistics and Computer Science Faculty Research and Publications. 2.
https://epublications.marquette.edu/mscs_fac/2
COinS
Comments
Accepted version. Published as part of the proceedings of the conference, Spring Topology and Dynamics Conference, 2009: 39-45. Permalink. © 2009 Topology Proceedings. Used with permission.