Detail výsledku

Closure, interior and neighbourhood in a category

HOLGATE, D.; ŠLAPAL, J. Closure, interior and neighbourhood in a category. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, vol. 47, no. 6, p. 1512-1520. ISSN: 1303-5010.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Holgate David, Prof.
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
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.

URL
Rok
2018
Strany
1512–1520
Časopis
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, roč. 47, č. 6, ISSN 1303-5010
DOI
10.15672/HJMS.2018.628
UT WoS
000464876200010
EID Scopus
2-s2.0-85073870384
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"
}
Soubory
Projekty
IT4Innovations excellence in science, MŠMT, Národní program udržitelnosti II, LQ1602, zahájení: 2016-01-01, ukončení: 2020-12-31, ukončen
Výzkumné skupiny
Výzkumná skupina automatizované analýzy a verifikace - VeriFIT (VZ VERIFIT)
Pracoviště
Fakulta informačních technologií (FIT)
Nahoru