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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (64), 2010/

Method for constructing one-point expansions of a topology* on a finite set and its applications

Authors: Arnautov Vladimir, A.V.Kochina

Abstract

The article consists of two parts. In the first part we present an algorithm which allows to receive, for any topology τ which is given on a set X from n elements, all topologies on the set X S{y} each of which induces the topology τ on the set X. In the second part (as an example) this algorithm is applied for calculation of the number of topologies on the set Y each of which induces the discrete topology on the set X.

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