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IMI/Publicaţii/BASM/Ediţii/BASM n.1(86), 2018/

Shape dimension of maps

Authors: P. S. Gevorgyan, I. Pop

Abstract

In this paper we define a numerical shape invariant of a continuous map called shape dimension of a map, which generalizes the shape dimension of a topological space. Some basic properties and applications of this invariant are given. The question of raising the shape dimension by shape finite-dimensional maps is solved. An example of a shape finite-dimensional surjective map between shape infinite-dimensional spaces is given.

P.S.Gevorgyan
Faculty of Mathematics
Moscow State Pedagogical University
Krasnoprudnaya str., 14, Moscow, Russia
E-mail:

I.Pop
Faculty of Mathematics
”Al.I.Cuza” University
700505-Iasi, Romania
E-mail:

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