On hereditarily reversible spaces
| Autor: | Sang-Eon Han, Vitalij A. Chatyrko, Yasunao Hattori |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Discrete mathematics
Class (set theory) Pure mathematics 010102 general mathematics Hausdorff space Mathematics::General Topology Space (mathematics) 01 natural sciences Homeomorphism 010101 applied mathematics Bijection Countable set Geometry and Topology 0101 mathematics Digital topology Subspace topology Mathematics |
| Zdroj: | Topology and its Applications. 225:53-66 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/j.topol.2017.04.010 |
| Popis: | In [15] Rajagopalan and Wilansky called a space reversible if each continuous bijection of the space onto itself is a homeomorphism. They called also a space hereditarily reversible if each its subspace is reversible. We characterize the hereditarily reversible spaces in several classes of topologicals spaces, in particular, in the class of Hausdorff spaces of the first countability and in some subclass of the class of locally finite T 0 -spaces relevant to digital topology. Besides we suggest different examples of (non-)reversible and (non-)hereditarily reversible spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect