Boundedness, one-point extensions and B-extensions

In: Mathematica Slovaca, vol. 58, no. 1

Alessandro Caterino - Federico Panduri - M. Cristina Vipera

Detaily:

Rok, strany: 2008, 101 - 114

Kľúčové slová:

boundedness, one-point extension, B-extension

O článku:

The general concept of boundedness in a topological space generalizes both metric boundedness and relative compactness. A one-point extension $o(\mathcal{F}_X)$ of the space $X$ is naturally associated to each boundedness $\mathcal{F}_X$ and every Hausdorff one-point extensions of a space $X$ can be obtained in this way. Imitating this construction, it is possible to define a much more general class of Hausdorff extensions of a locally bounded space with respect to a given boundedness, the so-called B-extensions. In this paper we study separation properties and metrizability of this kind of extension.

Ako citovať:

ISO 690:

Caterino, A., Panduri, F., Vipera, M. 2008. Boundedness, one-point extensions and B-extensions. In Mathematica Slovaca, vol. 58, no.1, pp. 101-114. 0139-9918.

APA:

Caterino, A., Panduri, F., Vipera, M. (2008). Boundedness, one-point extensions and B-extensions. Mathematica Slovaca, 58(1), 101-114. 0139-9918.