http://hdl.handle.net/20.500.12128/23670
Tytuł: | Generalized topologies with associating function and logical applications |
Autor: | Witczak, Tomasz |
Słowa kluczowe: | generalized topology; modal logic; convergence spaces; nets and sequences |
Data wydania: | 2020 |
Źródło: | "Acta et Commentationes Universitatis Tartuensis de Mathematica" Vol. 24, no. 2 (2020), s. 253-269 |
Abstrakt: | The whole universe of a generalized topological space may not be open. Hence, some points may be beyond any open set. In this paper we assume that such points are associated with certain open neighbourhoods by means of a special function F. We study various properties of the structures obtained in this way. We introduce the notions of F-interior and F-closure and we discuss issues of convergence in this new setting. It is possible to treat our spaces as a semantical framework for modal logic. |
URI: | http://hdl.handle.net/20.500.12128/23670 |
DOI: | 10.12097/ACUTM.2020.24.17 |
ISSN: | 1406-2283 2228-4699 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Witczak_Generalized_topologies_with_associating_function_and.pdf | 586,44 kB | Adobe PDF | Przejrzyj / Otwórz |
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