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Certain homotopic properties of functors with finite supports

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Abstract

It is proved that Shchepin-normal functors with finite supports in the category of compacta are continuous in the topology of homotopically n-regular Kuratowski convergence in the space of LCn-subsets of a metric compactum. These functors also preserve the property of mappings of polyhedra to induce an isomorphism of homotopic groups of dimension not greater than n.

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Authors and Affiliations

  1. Lviv University, USSR

    M. M. Zarichnii

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  1. M. M. Zarichnii
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 11, pp. 1618–1620, November, 1992.

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Zarichnii, M.M. Certain homotopic properties of functors with finite supports. Ukr Math J 44, 1491–1493 (1992). https://doi.org/10.1007/BF01071526

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  • DOI: https://doi.org/10.1007/BF01071526

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