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STANĚK, D. CHVALINA, J.
Original Title
Isomorphic approximations, closure spaces and comparable homeomorphic topologies
Type
conference paper
Language
English
Original Abstract
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.
Keywords
Pawlak approximations, comparability of isomorphic closures and homeomorphic topologies.
Authors
STANĚK, D.; CHVALINA, J.
Released
15. 6. 2017
Publisher
Univerzita obrany v Brně
Location
Brno
ISBN
978-80-7231-417-1
Book
MITAV 2017 (Matematika, informační technologie a aplikované vědy)
Edition number
1
Pages from
Pages to
13
Pages count
URL
http://mitav.unob.cz/
BibTex
@inproceedings{BUT142174, author="David {Staněk} and Jan {Chvalina}", title="Isomorphic approximations, closure spaces and comparable homeomorphic topologies", booktitle="MITAV 2017 (Matematika, informační technologie a aplikované vědy)", year="2017", number="1", pages="1--13", publisher="Univerzita obrany v Brně", address="Brno", isbn="978-80-7231-417-1", url="http://mitav.unob.cz/" }