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 CMFD, 2019, Volume 65, Issue 1, Pages 21–32 (Mi cmfd372)

Covariant functors and shapes in the category of compacts

T. F. Zhuraeva, Z. O. Tursunovaa, Q. R. Zhuvonovb

a Tashkent State Pedagogical University named after Nizami, Tashkent, Uzbekistan
b Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan

Abstract: In this paper, we consider covariant functors $F:Comp\to Comp$ acting in category of shape-preserving compact sets [2], infinite compact sets, and shape equivalence [9]. Also we study action of compact functors and shape properties of the compact space $X$ consisting of connected components $\square X$ of the compact $X$ as well as shape identity $ShX=ShY$ of infinite compacts $X$ and $Y$ for the space $P(X)$ of probability measures and its subspaces.

 Funding Agency Grant Number Academy of Sciences of the Republic of Uzbekistan ÎÒ-Ô-4-42 ÐÓç

DOI: https://doi.org/10.22363/2413-3639-2019-65-1-21-32

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UDC: 515.12

Citation: T. F. Zhuraev, Z. O. Tursunova, Q. R. Zhuvonov, “Covariant functors and shapes in the category of compacts”, Contemporary problems in mathematics and physics, CMFD, 65, no. 1, Peoples' Friendship University of Russia, M., 2019, 21–32

Citation in format AMSBIB
\Bibitem{ZhuTurZhu19} \by T.~F.~Zhuraev, Z.~O.~Tursunova, Q.~R.~Zhuvonov \paper Covariant functors and shapes in the category of compacts \inbook Contemporary problems in mathematics and physics \serial CMFD \yr 2019 \vol 65 \issue 1 \pages 21--32 \publ Peoples' Friendship University of Russia \publaddr M. \mathnet{http://mi.mathnet.ru/cmfd372} \crossref{https://doi.org/10.22363/2413-3639-2019-65-1-21-32}