Publication detail

Neighborhood spaces and convergence

ŠLAPAL, J. RICHMOND, T.

English title

Neighborhood spaces and convergence

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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 in English

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

Released

2010-02-01

Publisher

Auburn University

Location

Nippising

ISSN

0146-4124

Journal

Topology proceedings

Volume

35

Number

1

Pages from–to

165–175

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"
}