On pseudocompact spaces with a weak selection
| Autor: | Takamitsu Yamauchi, Kazumi Miyazaki, Dikran Dikranjan, Tsugunori Nogura |
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| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Orderable space Pseudocompact space 010102 general mathematics Mathematics::General Topology 01 natural sciences 010101 applied mathematics Stoneâ Ä ech compactification Clopen set Stone–Čech compactification Selection topology Geometry and Topology Locally compact space Compactification (mathematics) 0101 mathematics Remainder Weak selection StoneâÄech compactification Mathematics |
| Zdroj: | Topology and its Applications. 230:490-505 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2017.08.019 |
| Popis: | We study properties of the pseudocompact spaces X with a weak selection, and we dedicate a particular attention to the weak selection topologies on X. In case when X is also locally compact, we obtain a convenient decomposition of X into a finite union of clopen sets, which are either almost compact or connected with a remainder of size two in their Stone–Cech compactification. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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