Movable categories

Abstract

The notion of movability for metrizable compacts was introduced by K.Borsuk. In this paper we define the notion of 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.Mardesic).

arXiv comment6 pages