On Semiregularization of Some Abstract Density Topologies Involving Sets Having The Baire Property
, and | Aug 04, 2016
Tatra Mountains Mathematical Publications
Real Functions '15 — Measure Theory, Real Functions, General Topology. Editors: J. Borsík, 2016.
About this article
Published Online: Aug 04, 2016
Page range: 37 - 48
Received: Dec 02, 2014
DOI: https://doi.org/10.1515/tmmp-2016-0003
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© 2016
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 cases is the coarsest topology for which real functions continuous with respect to the abstract density topology are continuous.