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Normal Type Properties of Mappings Are Preserved by Closed Map-Morphisms

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Abstract

The paper contains definitions of normal, perfectly normal, collectionwise normal, hereditarily normal, paranormal mappings, and theorems on preservation of these properties under closed map-morphisms.

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References

  1. B. A. Pasynkov, “The Extension to Mappings of Some Concepts and Statements Concerning Spaces,” in: Mapping and Functors, Ed. by P. S. Aleksandrov, A. V. Arkhangel’skii, V. I. Zaitsev, and V. V. Fedorchuk (Izd-vo MGU, Moscow, 1984), pp. 72–102.

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Correspondence to M. Yu. Liseev.

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Russian Text © The Author(s), 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 6, pp. 61–64.

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Liseev, M.Y. Normal Type Properties of Mappings Are Preserved by Closed Map-Morphisms. Moscow Univ. Math. Bull. 74, 253–255 (2019). https://doi.org/10.3103/S0027132219060081

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  • DOI: https://doi.org/10.3103/S0027132219060081

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