Glasnik Matematicki, Vol. 38, No.1 (2003), 177-183.


P. S. Gevorgyan

Department of Higher Geometry and Topology, Moscow State University, Russia

Abstract.   The notion of movability for metrizable compacta was introduced by K.Borsuk. In this paper we define the notion of a movable category and prove that the movability of a topological space X coincides with the movability of a suitable category, which is generated by the topological space X (i.e., the category WX, defined by S.Mardešić).

2000 Mathematics Subject Classification.   55P55, 54C56.

Key words and phrases.   Shape theory, movability, category.

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