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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2018, Volume 24, Issue 2, Pages 24–27
DOI: https://doi.org/10.18287/2541-7525-2018-24-2-24-27 (Mi vsgu572) 		 
Mathematics

Shape properties of the space of probability measures and its subspaces

T. F. Zhuraeva, Q. R. Zhuvonovb, Zh. Kh. Ruzieva

a Department of General Mathematics, Tashkent State Pedagogical University named after Nizami, 27, Bunyodkor Street, Tashkent, 100070, Republik of Uzbekistan
b Department of Higher Mathematics, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 39, Kari Niyazov Street, Tashkent, 100000, Republic of Uzbekistan
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DOI: https://doi.org/10.18287/2541-7525-2018-24-2-24-27
Abstract: In this article we consider covariant functors acting in the categorie of compacts, preserving the shapes of infinite compacts, $AN R$-systems, moving compacts, shape equivalence, homotopy equivalence and $A ( N ) SR$ properties of compacts. As well as shape properties of a compact space $X$ consisting of connectedness components $0$ of this compact $X$ under the action of covariant functors, are considered. And we study the shapes equality $ShX = ShY$ of infinite compacts for the space $P ( X )$ of probability measures and its subspaces.
Keywords: covariant functors, $A(N)R$-compacts, $ANR$-systems, probability measures, moving compacts, retracts, measures of finite support, shape equivalence, homotopy equivalence.
Received: 23.05.2018
Bibliographic databases:
Document Type: Article
UDC: 515.12
MSC: 54B15, 54B30, 54B35, 54C05, 54C15, 54C60, 54D30
Language: English
Citation: T. F. Zhuraev, Q. R. Zhuvonov, Zh. Kh. Ruziev, “Shape properties of the space of probability measures and its subspaces”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:2 (2018), 24–27
Citation in format AMSBIB
\Bibitem{ZhuZhuRuz18}
\by T.~F.~Zhuraev, Q.~R.~Zhuvonov, Zh.~Kh.~Ruziev
\paper Shape properties of the space of probability measures and its subspaces
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2018
\vol 24
\issue 2
\pages 24--27
\mathnet{http://mi.mathnet.ru/vsgu572}
\crossref{https://doi.org/10.18287/2541-7525-2018-24-2-24-27}
\elib{https://elibrary.ru/item.asp?id=36731731}
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