A one-point extension of a space X is naturally associated to each boundedness in X and every Hausdorff one-point extension of a space 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 extensions.
Boundedness, one-point extensions and B-extensions
CATERINO, Alessandro;VIPERA, Maria Cristina
2008
Abstract
A one-point extension of a space X is naturally associated to each boundedness in X and every Hausdorff one-point extension of a space 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 extensions.File in questo prodotto:
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