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.
References
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).
V. V. Fedorchuk, “Probability measures in topology,”Usp. Mat. Nauk,46, Issue 1 (277), 41–80 (1991).
V. V. Fedorchuk, “Smooth mappings, many-valued retractions, and functors,”Usp. Mat. Nauk,41, Issue 6 (282), 121–159 (1986).
A. Ch. Chigogidze, “On extensions of normal functors,”Vestn. Mosk. Univ., Mat., Mekh., No. 6, 23–26 (1984).
E. V. Shchepin, “Functors and uncountable degrees of compact sets,”Usp. Mat. Nauk,36 issue 3 (219), 3–61 (1981).
W. Hurewicz, “Relativ perfekte Teile von Punktmengen und Mengen (A),”Fund. Math., 476–01 5–109 (1928).
K. Kuratowski, Topology. I, 476-02WN, Warszawa (1966).
K. Kuratowski, Topology. 476-03T: -WN, Warszawa (1968).
F. Topsoe and I. Hoffman-476-04 gensen, “Analytic spaces and their applications,” in:Analytic Sets. Instr. Conf. Anal. Sets. Univ. Coll. London (1978).
M. M. Zarichnyi, “On co{fx476-05iant topological functors. I},”Quest. Answ. Gen. Topology,8, 317–369 (1991).
M. M. Zarichnyi, “On covariant topological functors. II,”Quest. Answ. Gen. Topology,9, 1–32 (1991).
Author information
Authors and Affiliations
Additional information
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.
Rights and permissions
About this article
Cite this article
Banakh, T. Descriptive classes of sets and topological functors. Ukr Math J 47, 474–476 (1995). https://doi.org/10.1007/BF01056310
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01056310