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Summation theorem for inductive dimensions

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Abstract

A bicompactum with dim = 1 and ind = Ind = 3, whichis the union of three of its own closed subsets, each of which is one-dimensional in all senses, is constructed.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    S. V. Kotkin

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  1. S. V. Kotkin
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Additional information

Translated from Matematicheskie Zametki, Vol. 52, No. 3, pp. 89–95, September, 1992.

I would like to express my profound gratitude to my advisor, V. V. Filippov.

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Kotkin, S.V. Summation theorem for inductive dimensions. Math Notes 52, 938–942 (1992). https://doi.org/10.1007/BF01209613

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  • DOI: https://doi.org/10.1007/BF01209613

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