Publication detail

Categorical neighborhood operators

ŠLAPAL, J. HOLGATE, D.

Original Title

Categorical neighborhood operators

Type

journal article - other

Language

English

Original Abstract

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.

Keywords

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

Authors

ŠLAPAL, J.; HOLGATE, D.

RIV year

2011

Released

7. 9. 2011

ISBN

0166-8641

Periodical

Topology and its Applications

Year of study

158

Number

16

State

Kingdom of the Netherlands

Pages from

2356

Pages to

2365

Pages count

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"
}