Publication detail

Neighborhood spaces and convergence

ŠLAPAL, J. RICHMOND, T.

Czech title

Neighborhood spaces and convergence

English title

Neighborhood spaces and convergence

Type

journal article - other

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.

Czech 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 in Czech

Raster, neighborhood space, continuous map, separation, compactness, convergence} \begin{abstract}

Keywords in English

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

RIV year

2010

Released

01.02.2010

Publisher

Auburn University

Location

Nippising

ISSN

0146-4124

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",
  year="2010",
  volume="35",
  number="1",
  month="February",
  pages="165--175",
  publisher="Auburn University",
  address="Nippising",
  issn="0146-4124"
}