Isomorphic approximations, closure spaces and comparable homeomorphic topologies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU125723" target="_blank" >RIV/00216305:26220/17:PU125723 - isvavai.cz</a>
Result on the web
<a href="http://mitav.unob.cz/" target="_blank" >http://mitav.unob.cz/</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Isomorphic approximations, closure spaces and comparable homeomorphic topologies
Original language description
Approximation theory based on Pawlak's rough sets uses closure operators determined by stars of subsets in a set partitions formed by an equivalence relation. In the contribution there are presented connections between closure spaces, topological spaces and it is proved that there exist different comparable isomorphic approximation Pawlak's operator on a universat set U as well as different comparable isomorphic closures on U or different comparable homeomorphic topologies in the sense of Bourbaki if and only if the underlying set U is infinite. The obntained result can serves as a criterion of the set infinity.
Czech name
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Czech description
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Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
MITAV 2017 (Matematika, informační technologie a aplikované vědy)
ISBN
978-80-7231-417-1
ISSN
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e-ISSN
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Number of pages
13
Pages from-to
1-13
Publisher name
Univerzita obrany v Brně
Place of publication
Brno
Event location
Brno
Event date
Jun 15, 2017
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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