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

Hejduk, Jacek; Wiertelak, Renata; Wojdowski, Wojciech

doi:10.1515/tmmp-2016-0003

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

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