Geodesic
Shape dimension of maps
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2018), pp. 3-11 
P. S. Gevorgyan; I. Pop. Shape dimension of maps. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2018), pp. 3-11. http://geodesic.mathdoc.fr/item/BASM_2018_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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