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On extension of continuous mappings, topological products and retracts

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Abstract

One of the fundamental concepts of the extension theory developed in the works of A. N. Dranishnikov and E. V. Shchepin is the concept of relation of extensiveness, which was introduced by K. Kuratowski. We describe the behavior of the relation of extensiveness with respect to certain types of subspaces of topological products and spaces, which are the Stone–Cech compactifications of the discrete sums of the Hilbert cube.

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Authors and Affiliations

  1. Arzamas Branch of the Lobachevsky State University of Nizhni Novgorod, ul. K. Marksa 36, Arzamas, Nizhni Novgorod Region, 607220, Russia

    L. V. Shirokov

Authors
  1. L. V. Shirokov
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Correspondence to L. V. Shirokov.

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Original Russian Text © L.V. Shirokov, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 5, pp. 70–74.

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Shirokov, L.V. On extension of continuous mappings, topological products and retracts. Russ Math. 60, 51–60 (2016). https://doi.org/10.3103/S1066369X16050042

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