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.
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Comments
Accepted version. Published as part of the proceedings of the conference, Spring Topology and Dynamics Conference, 2009: 39-45. Permalink. © Topology Proceedings 2009. Used with permission.