Result Details

Neighborhood spaces and convergence

ŠLAPAL, J.; RICHMOND, T. Neighborhood spaces and convergence. Topology Proceedings, 2010, vol. 35, no. 1, p. 165-175. ISSN: 0146-4124.

Type

journal article

Language

English

Authors

Šlapal Josef, prof. RNDr., CSc., IM (FME)
Richmond Tom, Prof.

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}

Published

2010

Pages

165–175

Journal

Topology Proceedings, vol. 35, no. 1, ISSN 0146-4124

Publisher

Auburn University

Place

Nippising

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"
}

Departments

Institute of Mathematics (IM)