Detail publikace

Neighborhood spaces and convergence

ŠLAPAL, J. RICHMOND, T.

Český název

Neighborhood spaces and convergence

Anglický název

Neighborhood spaces and convergence

Typ

článek v časopise - ostatní, Jost

Jazyk

en

Originální abstrakt

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.

Český abstrakt

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.

Anglický abstrakt

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.

Klíčová slova česky

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

Klíčová slova anglicky

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

Rok RIV

2010

Vydáno

01.02.2010

Nakladatel

Auburn University

Místo

Nippising

ISSN

0146-4124

Ročník

35

Číslo

1

Strany od–do

165–175

Počet stran

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"
}