Geodesic
Covariant functors and shapes in the category of compacts
Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 21-32.

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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. 
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T. F. Zhuraev; Z. O. Tursunova; Q. R. Zhuvonov. Covariant functors and shapes in the category of compacts. Contemporary Mathematics. Fundamental Directions, Contemporary problems in mathematics and physics, Tome 65 (2019) no. 1, pp. 21-32. http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a2/

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