Publication detail

Neighborhood spaces and convergence

ŠLAPAL, J. RICHMOND, T.

Original Title

Neighborhood spaces and convergence

Type

journal article - other

Language

English

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.

Keywords

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

Authors

ŠLAPAL, J.; RICHMOND, T.

RIV year

2010

Released

1. 2. 2010

Publisher

Auburn University

Location

Nippising

ISBN

0146-4124

Periodical

Topology Proceedings

Year of study

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"
}