Detail publikačního výsledku

Categorical neighborhood operators

ŠLAPAL, J.; HOLGATE, D.

Originální název

Categorical neighborhood operators

Anglický název

Categorical neighborhood operators

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

We introduce and study a concept of neighborhood operator on a category. Such an operator is obtained by assigning a suitably axiomatized stack of subobjects -- the neighbourhoods -- to every subobject of each object in the category. We discuss closure and interior operators, convergence, separation and compactness with respect to a neighborhood operator, defined in a natural way.

Anglický abstrakt

We introduce and study a concept of neighborhood operator on a category. Such an operator is obtained by assigning a suitably axiomatized stack of subobjects -- the neighbourhoods -- to every subobject of each object in the category. We discuss closure and interior operators, convergence, separation and compactness with respect to a neighborhood operator, defined in a natural way.

Klíčová slova

Category, factorization system, closure operator, neighborhood operator, convergence, separation, compactness

Klíčová slova v angličtině

Category, factorization system, closure operator, neighborhood operator, convergence, separation, compactness

Autoři

ŠLAPAL, J.; HOLGATE, D.

Rok RIV

2012

Vydáno

07.09.2011

ISSN

0166-8641

Periodikum

TOPOLOGY AND ITS APPLICATIONS

Svazek

158

Číslo

16

Stát

Nizozemsko

Strany od

2356

Strany do

2365

Strany počet

10

BibTex

@article{BUT73395,
  author="Josef {Šlapal} and David {Holgate}",
  title="Categorical neighborhood operators",
  journal="TOPOLOGY AND ITS APPLICATIONS",
  year="2011",
  volume="158",
  number="16",
  pages="2356--2365",
  issn="0166-8641"
}