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
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{CMFD_2019_65_1_a2,
author = {T. F. Zhuraev and Z. O. Tursunova and Q. R. Zhuvonov},
title = {Covariant functors and shapes in the category of compacts},
journal = {Contemporary Mathematics. Fundamental Directions},
pages = {21--32},
publisher = {mathdoc},
volume = {65},
number = {1},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a2/}
}
TY - JOUR AU - T. F. Zhuraev AU - Z. O. Tursunova AU - Q. R. Zhuvonov TI - Covariant functors and shapes in the category of compacts JO - Contemporary Mathematics. Fundamental Directions PY - 2019 SP - 21 EP - 32 VL - 65 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a2/ LA - ru ID - CMFD_2019_65_1_a2 ER -
%0 Journal Article %A T. F. Zhuraev %A Z. O. Tursunova %A Q. R. Zhuvonov %T Covariant functors and shapes in the category of compacts %J Contemporary Mathematics. Fundamental Directions %D 2019 %P 21-32 %V 65 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/CMFD_2019_65_1_a2/ %G ru %F CMFD_2019_65_1_a2
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/