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HOLGATE, D.; ŠLAPAL, J.
Original Title
Closure, interior and neighbourhood in a category
English Title
Type
WoS Article
Original Abstract
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.
English abstract
Keywords
Categorical closure operator, interior operator, neighbourhood operator.
Key words in English
Authors
RIV year
2019
Released
14.12.2018
ISBN
1303-5010
Periodical
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
Volume
47
Number
6
State
Republic of Turkey
Pages from
1512
Pages to
1520
Pages count
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" }
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