On Semiregularization of Some Abstract Density Topologies Involving Sets Having The Baire Property
Autor: | Renata Wiertelak, Wojciech Wojdowski, Jacek Hejduk |
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Rok vydání: | 2016 |
Předmět: |
General Mathematics
010102 general mathematics Extension topology 02 engineering and technology Initial topology Topology 01 natural sciences Strong topology (polar topology) 0202 electrical engineering electronic engineering information engineering Weak topology (polar topology) Baire category theorem 020201 artificial intelligence & image processing Product topology General topology 0101 mathematics Particular point topology Mathematics |
Zdroj: | Tatra Mountains Mathematical Publications. 65:37-48 |
ISSN: | 1210-3195 |
DOI: | 10.1515/tmmp-2016-0003 |
Popis: | 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. |
Databáze: | OpenAIRE |
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