Detail výsledku

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.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Richmond Tom, Prof.
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

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

Rok
2010
Strany
165–175
Časopis
Topology Proceedings, roč. 35, č. 1, ISSN 0146-4124
Vydavatel
Auburn University
Místo
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"
}
Pracoviště
Ústav matematiky (ÚM)
Nahoru