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Descriptive classes of sets and topological functors

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Abstract

It is proved that the image of a normal functor from the Stone-Cech compactification of the projective class of sets also belongs to this class.

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References

  1. M. M. Zarichnyi “Invariance ofANR \((\mathfrak{M})\)-spaces and infinite-dimensional manifolds under the action of some covariant functors,”Dokl. Akad. Nauk SSSR,271, No. 3, 524–528 (1983).

    Google Scholar 

  2. V. V. Fedorchuk, “Probability measures in topology,”Usp. Mat. Nauk,46, Issue 1 (277), 41–80 (1991).

    Google Scholar 

  3. V. V. Fedorchuk, “Smooth mappings, many-valued retractions, and functors,”Usp. Mat. Nauk,41, Issue 6 (282), 121–159 (1986).

    Google Scholar 

  4. A. Ch. Chigogidze, “On extensions of normal functors,”Vestn. Mosk. Univ., Mat., Mekh., No. 6, 23–26 (1984).

    Google Scholar 

  5. E. V. Shchepin, “Functors and uncountable degrees of compact sets,”Usp. Mat. Nauk,36 issue 3 (219), 3–61 (1981).

    Google Scholar 

  6. W. Hurewicz, “Relativ perfekte Teile von Punktmengen und Mengen (A),”Fund. Math., 476–01 5–109 (1928).

  7. K. Kuratowski, Topology. I, 476-02WN, Warszawa (1966).

  8. K. Kuratowski, Topology. 476-03T: -WN, Warszawa (1968).

  9. F. Topsoe and I. Hoffman-476-04 gensen, “Analytic spaces and their applications,” in:Analytic Sets. Instr. Conf. Anal. Sets. Univ. Coll. London (1978).

  10. M. M. Zarichnyi, “On co{fx476-05iant topological functors. I},”Quest. Answ. Gen. Topology,8, 317–369 (1991).

    Google Scholar 

  11. M. M. Zarichnyi, “On covariant topological functors. II,”Quest. Answ. Gen. Topology,9, 1–32 (1991).

    Google Scholar 

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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 408–410, March, 1995.

The author would like to express his deep gratitude to Prof. R. Cauty for valuable and stimulating discussions on the subject of the paper.

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Banakh, T. Descriptive classes of sets and topological functors. Ukr Math J 47, 474–476 (1995). https://doi.org/10.1007/BF01056310

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  • DOI: https://doi.org/10.1007/BF01056310

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