On Chu Spaces over SS - Act Category

被引：0

作者：

Skurikhin, Evgeniy E. ^{[1
,2
]}

Stepanova, Alena A. ^{[1
]}

Sukhonos, Andrey G. ^{[1
]}

机构：

[1] Far Eastern Fed Univ, Vladivostok, Russia

[2] RAS, Inst Appl Math FEB, Vladivostok, Russia

来源：

BULLETIN OF IRKUTSK STATE UNIVERSITY-SERIES MATHEMATICS | 2023年 / 44卷

关键词：

Cartesian closed category; S-Act; Chu spaces; functors; limits;

D O I：

10.26516/1997-7670.2023.44.116

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：116 / 135

页数：20