On homeomorphisms of density type topologies generated by functions

Małgorzata Filipczak; Tomasz Filipczak

doi:10.2478/v10127-010-0014-9

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On homeomorphisms of density type topologies generated by functions

Tatra Mountains Mathematical Publications

Volume 46 (2010): Issue 1 (August 2010)

By: Małgorzata Filipczak and Tomasz Filipczak

Open Access

|Nov 2012

Abstract

The paper is concerned with homeomorphisms on topological spaces (ℝ, Tƒ), where Tƒ is a generalization of the density topology generated by a function ƒ. It is shown that the density topology is not homeomorphic with any other topology Tƒ and that, under some assumptions, homeomorphic ƒ-density topologies have to be comparable.

References

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DOI: https://doi.org/10.2478/v10127-010-0014-9 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 7 - 13

Published on: Nov 13, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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© 2012 Małgorzata Filipczak, Tomasz Filipczak, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

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