Original scientific paper

https://doi.org/10.3336/gm.50.1.13

On products in the coarse shape category

Tayyebe Nasri ; Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran
Behrooz Mashayekhy orcid.org/0000-0001-5243-0641 ; Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran
Hanieh Mirebrahimi ; Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran

Abstract

The paper is devoted to the study of coarse shape of Cartesian products of topological spaces. If the Cartesian product of two spaces X and Y admits an HPol-expansion, which is the Cartesian product of HPol-expansions of these spaces, then X × Y is a product in the coarse shape category. As a consequence, the Cartesian product of two compact Hausdorff spaces is a product in the coarse shape category. Finally, we show that the shape groups and the coarse shape groups commute with products under some conditions.

Keywords

Coarse shape category; shape category; product

Hrčak ID:

140100

URI

https://hrcak.srce.hr/140100

Publication date:

15.6.2015.

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