Movability and Uniform Movability of Shape Morphisms

Abstract

The purpose of this paper is to define some notions of movability for morphisms of inverse systems which extend the movability properties of inverse systems and which are compatible with the equivalence relations which define promorphisms and shape morphisms. Some properties, examples and applications are given.2000 Mathematics Subject Classification. 55P55, 54C56, Keywords. Movability and co-movability (strong, uniform) for morphism of inverse systems, of pro-morphisms, of shape morphisms and maps; Mittag-Leffler property.