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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2018, Number 1, Pages 3–11 (Mi basm466)  
This article is cited in 1 scientific paper (total in 1 paper)

Shape dimension of maps

P. S. Gevorgyana, I. Popb

a Faculty of Mathematics, Moscow State Pedagogical University, Krasnoprudnaya str., 14, Moscow, Russia
b Faculty of Mathematics, "Al. I. Cuza" University, 700505-Iasi, Romania
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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.
Keywords and phrases: dimension of a morphism of inverse systems, of a pro-morphism, shape dimension of a shape morphism, of a map.
Received: 10.01.2017
Document Type: Article
MSC: 55P55, 54C56
Language: English
Citation: P. S. Gevorgyan, I. Pop, “Shape dimension of maps”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2018, no. 1, 3–11
Citation in format AMSBIB
\Bibitem{GevPop18}
\by P.~S.~Gevorgyan, I.~Pop
\paper Shape dimension of maps
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2018
\issue 1
\pages 3--11
\mathnet{http://mi.mathnet.ru/basm466}
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    • This publication is cited in the following 1 articles:
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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