Publication detail

Categorical neighborhood operators

ŠLAPAL, J. HOLGATE, D.

English title

Categorical neighborhood operators

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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 in English

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

Released

2011-09-07

ISSN

0166-8641

Journal

TOPOLOGY AND ITS APPLICATIONS

Volume

158

Number

16

Pages from–to

2356–2365

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"
}