<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Faculty of Mathematics and Computer Science Łódź University Banacha 22 PL–90-238 Łódź POLAND

Institute of Mathematics Technical University of Łódź Wólczańska 215 PL–90-924 Łódź POLAND

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: Aug 04, 2016

Page range: 37 - 48

Received: Dec 02, 2014

DOI: https://doi.org/10.1515/tmmp-2016-0003

Keywords
lower density operator, abstract density topology, Baire space

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Aug 04, 2016

Page range: 37 - 48

Received: Dec 02, 2014

DOI: https://doi.org/10.1515/tmmp-2016-0003

Keywordslower density operator, abstract density topology, Baire space

© 2016

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
lower density operator, abstract density topology, Baire space