On Semiregularization of Some Abstract Density Topologies Involving Sets Having The Baire Property

Jacek Hejduk; Renata Wiertelak; Wojciech Wojdowski

doi:10.1515/tmmp-2016-0003

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On Semiregularization of Some Abstract Density Topologies Involving Sets Having The Baire Property

Tatra Mountains Mathematical Publications

Volume 65 (2016): Issue 1 (March 2016)

By: Jacek Hejduk, Renata Wiertelak and Wojciech Wojdowski

Open Access

|Aug 2016

Abstract

Some kind of abstract density topology in a topological Baire space is considered. The semiregularization of this type of topology on the real line in many cases is the coarsest topology for which real functions continuous with respect to the abstract density topology are continuous.

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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2016-0003 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 37 - 48

Submitted on: Dec 2, 2014

Published on: Aug 4, 2016

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

lower density operator,

abstract density topology,

Baire space

Related subjects:

Mathematics,

General mathematics

© 2016 Jacek Hejduk, Renata Wiertelak, Wojciech Wojdowski, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 65 (2016): Issue 1 (March 2016)