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On hereditarily reversible spaces
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
Chonbuk National University, South Korea.
Shimane University, Japan.
2017 (English)In: Topology and its Applications, ISSN 0166-8641, E-ISSN 1879-3207, Vol. 225, 53-66 p.Article in journal (Refereed) Published
Abstract [en]

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. (C) 2017 Elsevier B.V. All rights reserved.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2017. Vol. 225, 53-66 p.
Keyword [en]
Continuous bijection; Reversible space; Hereditarily reversible space; Stone-Cech compactification of; natural numbers; Locally finite T-0-space
National Category
Geometry
Identifiers
URN: urn:nbn:se:liu:diva-138468DOI: 10.1016/j.topol.2017.04.010ISI: 000402213100007OAI: oai:DiVA.org:liu-138468DiVA: diva2:1111761
Conference
International Conference on Set-Theoretic Topology and its Applications
Available from: 2017-06-19 Created: 2017-06-19 Last updated: 2017-06-19

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  • nn-NB
  • sv-SE
  • Other locale
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  • asciidoc
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