On Chu spaces over $SS-Act$ category
The Bulletin of Irkutsk State University. Series Mathematics, Tome 44 (2023), pp. 116-135
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We prove the general properties of morphisms of Chu spaces and functors with a value in the category $Chu(SS-Act)$ of Chu spaces over the category $SS-Act$. As a consequence, for the category $Chu(SS-Act)$ the existence of coproducts and some products is proved, monomorphisms and epimorphisms are characterized; in terms of this category the characteristics of separable and complete separable Chu spaces are given.
Keywords:
Cartesian closed category, $S$-Act, Chu spaces, functors, limits.
@article{IIGUM_2023_44_a9,
author = {Evgeniy E. Skurikhin and Alena A. Stepanova and Andrey G. Sukhonos},
title = {On {Chu} spaces over $SS-Act$ category},
journal = {The Bulletin of Irkutsk State University. Series Mathematics},
pages = {116--135},
publisher = {mathdoc},
volume = {44},
year = {2023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IIGUM_2023_44_a9/}
}
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%0 Journal Article %A Evgeniy E. Skurikhin %A Alena A. Stepanova %A Andrey G. Sukhonos %T On Chu spaces over $SS-Act$ category %J The Bulletin of Irkutsk State University. Series Mathematics %D 2023 %P 116-135 %V 44 %I mathdoc %U http://geodesic.mathdoc.fr/item/IIGUM_2023_44_a9/ %G en %F IIGUM_2023_44_a9
Evgeniy E. Skurikhin; Alena A. Stepanova; Andrey G. Sukhonos. On Chu spaces over $SS-Act$ category. The Bulletin of Irkutsk State University. Series Mathematics, Tome 44 (2023), pp. 116-135. http://geodesic.mathdoc.fr/item/IIGUM_2023_44_a9/