Přístupnostní navigace
E-přihláška
Vyhledávání Vyhledat Zavřít
Detail publikace
HOLGATE, D. ŠLAPAL, J.
Originální název
Closure, interior and neighbourhood in a category
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The natural correspondences in topology between closure, interior and neighbourhood no longer hold in an abstract categorical setting where subobject lattices are not necessarily Boolean algebras. We analyse three canonical correspondences between closure, interior and neighbourhood operators in a category endowed with a subobject structure. While these correspondences coincide in general topology, the analysis highlights subtle dierences which distinguish different approaches taken in the literature.
Klíčová slova
Categorical closure operator, interior operator, neighbourhood operator.
Autoři
HOLGATE, D.; ŠLAPAL, J.
Vydáno
14. 12. 2018
ISSN
1303-5010
Periodikum
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Ročník
47
Číslo
6
Stát
Turecká republika
Strany od
1512
Strany do
1520
Strany počet
9
URL
http://dergipark.gov.tr/hujms/issue/41011/494828
BibTex
@article{BUT155116, author="David {Holgate} and Josef {Šlapal}", title="Closure, interior and neighbourhood in a category", journal="HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS", year="2018", volume="47", number="6", pages="1512--1520", doi="10.15672/HJMS.2018.628", issn="1303-5010", url="http://dergipark.gov.tr/hujms/issue/41011/494828" }