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Properties of (Hereditarily) Normal Mappings

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Abstract

In the paper, properties of normal and hereditarily normal mappings are considered and their characterizations and examples are given.

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REFERENCES

  1. I. A. Vainshtein, ‘‘On closed mappings of metric spaces,’’ Dokl. Akad. Nauk SSSR 57, 319–321 (1947).

    MathSciNet  Google Scholar 

  2. J. Dieudonné and A. Grothendieck, ‘‘Éléments de géométrie algébrique: I. Le langage des schémas,’’ Publ. Math. l’IHÉS 4, 5–228 (1960).

  3. B. A. Pasynkov, ‘‘On propagation on mappings of certain concepts and statements concerning spaces,’’ in Mappings and Functors (Izd-vo Mosk. Gos. Univ., Moscow, 1984), pp. 72–102.

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  4. V. A. Matveev, ‘‘Hausdorff compactifications of mappings,’’ Vestn. Mosk. Univ., Ser. 1: Mat., Mekh., No. 1, pp. 94–96 (1988).

  5. D. K. Musaev and B. A. Pasynkov, On the Properties and Completeness of Topological Spaces and Continuous Mappings (Akad. Nauk Resp. Uzbekistan, Tashkent, 1994).

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  6. R. Engelking, General Topology (PWN, Warsaw, 1977).

    MATH  Google Scholar 

  7. M. Yu. Liseev, ‘‘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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  8. P. S. Aleksandrov and B. A. Pasynkov, Introduction to the Dimensionality Theory (Mir, Moscow, 1973).

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ACKNOWLEDGMENTS

The author is grateful to Prof. B. A. Pasynkov for statement of the problem and his attention to the work, and to the referee for useful remarks.

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Authors and Affiliations

  1. Chair of General Topology and Geometry, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119992, Moscow, Russia

    M. Yu. Liseev

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  1. M. Yu. Liseev
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Correspondence to M. Yu. Liseev.

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Translated by I. Tselishcheva

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Liseev, M.Y. Properties of (Hereditarily) Normal Mappings. Moscow Univ. Math. Bull. 76, 244–250 (2021). https://doi.org/10.3103/S0027132221060061

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  • DOI: https://doi.org/10.3103/S0027132221060061

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