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arXiv · 1301.1641

On products in the coarse shape categories

Tayyebe Nasri·Behrooz Mashayekhy·Hanieh Mirebrahimi
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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.

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Tayyebe Nasri, Behrooz Mashayekhy, Hanieh Mirebrahimi. 2015-07-28. On products in the coarse shape categories. https://doi.org/10.3336/gm.50.1.13

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