Covariant Functors and Shapes in the Category of Compacts

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Abstract

In this paper, we consider covariant functors F : Comp → 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 ОX 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.

About the authors

T F Zhuraev

Tashkent State Pedagogical University named after Nizami

Email: tursunzhuraev@mail.ru
Tashkent, Uzbekistan

Z O Tursunova

Tashkent State Pedagogical University named after Nizami

Email: zulayhotursunova@mail.ru
Tashkent, Uzbekistan

K R Zhuvonov

Tashkent State Pedagogical University named after Nizami

Email: qamariddin.j@mail.ru
Tashkent, Uzbekistan

References

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