Detail publikačního výsledku

Closure, interior and neighbourhood in a category

HOLGATE, D.; ŠLAPAL, J.

Originální název

Closure, interior and neighbourhood in a category

Anglický název

Closure, interior and neighbourhood in a category

Druh

Článek WoS

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.

Anglický 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.

Klíčová slova v angličtině

Categorical closure operator, interior operator, neighbourhood operator.

Autoři

HOLGATE, D.; ŠLAPAL, J.

Rok RIV

2019

Vydáno

14.12.2018

ISSN

1303-5010

Periodikum

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS

Svazek

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"
}

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