SHAPE PROPERTIES OF THE SPACE OF PROBABILITY MEASURES AND ITS SUBSPACES



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Аннотация

In this note we consider covariant functors acting in the categorie of compacts, preserving the shapes of infinite compacts, ANR-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.

Об авторах

T. F. Zhuraev

Tashkent State Pedagogical University named after Nizami

Автор, ответственный за переписку.
Email: morenov.sv@ssau.ru
Узбекистан

Q. R. Zhuvonov

Tashkent Institute of Irrigation and Agricultural Mechanization Engineers

Email: morenov.sv@ssau.ru
Узбекистан

Zh. Kh. Ruziev

Tashkent State Pedagogical University named after Nizami

Email: morenov.sv@ssau.ru
Узбекистан

Список литературы

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© Zhuraev T.F., Zhuvonov Q.R., Ruziev Z.K., 2018

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