Monotone and open Whitney maps defined in 2X
Autor: | Alejandro Illanes |
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Rok vydání: | 1993 |
Předmět: | |
Zdroj: | Topology and its Applications. 53(3):271-288 |
ISSN: | 0166-8641 |
DOI: | 10.1016/0166-8641(93)90121-s |
Popis: | Some equivalent conditions on a Whitney map for 2 X to be open (or monotone) are given. It is shown that the existence of a monotone Whitney map for 2 X implies that the space of Whitney levels in 2 X is pathwise connected. Three examples showing that the contractibility of a dendroid X is independent of the existence of open (or monotone) Whitney maps for 2 X are given and some questions concerning this subject are asked. |
Databáze: | OpenAIRE |
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