Displaying similar documents to “A survey of minimal topological spaces”

On minimal Hausdorff and minimal Urysohn functions

Filippo Cammaroto, Andrei Catalioto, Jack Porter (2011)

Open Mathematics

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In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.

H-closed functions

Filippo Cammaroto, Vitaly V. Fedorcuk, Jack R. Porter (1998)

Commentationes Mathematicae Universitatis Carolinae

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The notion of a Hausdorff function is generalized to the concept of H-closed function and the concept of an H-closed extension of a Hausdorff function is developed. Each Hausdorff function is shown to have an H-closed extension.

On minimal- α -spaces

Giovanni Lo Faro, Giorgio Nordo, Jack R. Porter (2003)

Commentationes Mathematicae Universitatis Carolinae

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An α -space is a topological space in which the topology is generated by the family of all α -sets (see [N]). In this paper, minimal- α 𝒫 -spaces (where 𝒫 denotes several separation axioms) are investigated. Some new characterizations of α -spaces are also obtained.