Publication result detail

Neighborhood spaces and convergence

ŠLAPAL, J.; RICHMOND, T.

Original Title

Neighborhood spaces and convergence

English Title

Neighborhood spaces and convergence

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We study neighborhood spaces $(X, \nu)$ in which the system $\nu(x)$ of neighborhoods at a point $x \in X$ is a system of subsets of$X$ containing $x$ which need not be a filter, but must only be astack, i.e., closed under the formation of supersets. We investigatecontinuity, separation, compactness, and convergence of centeredstacks in this setting.

English abstract

We study neighborhood spaces $(X, \nu)$ in which the system $\nu(x)$ of neighborhoods at a point $x \in X$ is a system of subsets of$X$ containing $x$ which need not be a filter, but must only be astack, i.e., closed under the formation of supersets. We investigatecontinuity, separation, compactness, and convergence of centeredstacks in this setting.

Keywords

Raster, neighborhood space, continuous map, separation, compactness, convergence}

Key words in English

Raster, neighborhood space, continuous map, separation, compactness, convergence}

Authors

ŠLAPAL, J.; RICHMOND, T.

RIV year

2010

Released

01.02.2010

Publisher

Auburn University

Location

Nippising

ISBN

0146-4124

Periodical

Topology Proceedings

Volume

35

Number

1

State

United States of America

Pages from

165

Pages to

175

Pages count

11

BibTex

@article{BUT48908,
  author="Josef {Šlapal} and Tom {Richmond}",
  title="Neighborhood spaces and convergence",
  journal="Topology Proceedings",
  year="2010",
  volume="35",
  number="1",
  pages="165--175",
  issn="0146-4124"
}