Title : ( On products in the coarse shape category )
Authors: tayyebe nasri , Behrooz Mashayekhy Fard , Bibi Hanieh Mirebrahimi Paziquee ,
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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 $X\times Y$ 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
@article{paperid:1048871,
author = {Nasri, Tayyebe and Mashayekhy Fard, Behrooz and Mirebrahimi Paziquee, Bibi Hanieh},
title = {On products in the coarse shape category},
journal = {Glasnik Matematicki},
year = {2015},
volume = {50},
number = {1},
month = {June},
issn = {0017-095X},
pages = {223--231},
numpages = {8},
keywords = {coarse shape category; shape category; product},
}
%0 Journal Article
%T On products in the coarse shape category
%A Nasri, Tayyebe
%A Mashayekhy Fard, Behrooz
%A Mirebrahimi Paziquee, Bibi Hanieh
%J Glasnik Matematicki
%@ 0017-095X
%D 2015
