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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2023. Vol 44

On Chu Spaces over 𝑆𝑆 − 𝐴𝑐𝑡 Category

Author(s)
Evgeniy E. Skurikhin1,2, Alena A. Stepanova1, Andrey G. Sukhonos1

1Far-Eastern Federal University, Vladivostok, Russian Federation

2Institute of Applied Mathematics FEB RAS, Vladivostok, Russian Federation

Abstract
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.
About the Authors

Evgeniy E. Skurikhin, Dr. Sci. (Phys.–Math.), Prof., Institute of Applied Mathematics FEB RAS, Vladivostok, 690041, Russian Federation, Far-Eastern Federal University, Vladivostok, 690920, Russian Federation, eeskur@gmail.ru

Alena A. Stepanova, Dr. Sci. (Phys.–Math.), Prof., Far-Eastern Federal University, Vladivostok, 690920, Russian Federation, stepltd@mail.ru

Andrey G. Sukhonos, Cand. Sci. (Phys.Math.), Far-Eastern Federal University, Vladivostok, 690920, Russian Federation, agsukh@mail.ru

For citation
Skurikhin E. E., Stepanova A. A., Sukhonos A. G. On Chu Spaces over 𝑆𝑆 − 𝐴𝑐𝑡 Category. The Bulletin of Irkutsk State University. Series Mathematics, 2023, vol. 44, pp. 116–135. https://doi.org/10.26516/1997-7670.2023.44.116
Keywords
Cartesian closed category, 𝑆-Act, Chu spaces, functors, limits
UDC
512.53, 512.58
MSC
20M30, 18M05
DOI
https://doi.org/10.26516/1997-7670.2023.44.116
References
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