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

MOVABLE CATEGORIES

P. S. Gevorgyan

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 W^X, defined by S.Mardešić).

2000 Mathematics Subject Classification.   55P55, 54C56.

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