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Covering dimension of topological products

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Abstract

The first part of the paper is concerned with conditions under which the inequality dim X × Y ≤ dim X + dim Y and similar inequalities for infinite topological products hold. The second part contains examples of spaces such that the sums of their dimensions are smaller than the dimensions of their products.

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  1. Moscow State University, Russia

    K. L. Kozlov & B. A. Pasynkov

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  1. K. L. Kozlov
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 34, General Topology, 2005.

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Kozlov, K.L., Pasynkov, B.A. Covering dimension of topological products. J Math Sci 144, 4031–4110 (2007). https://doi.org/10.1007/s10958-007-0256-5

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