标题:
拓扑空间偶范畴中的同伦正则态射On Homotopy Regular Morphism in the Category of Topological Pairs
作者:
钱有华, 平麟, 陈胜敏
关键字:
拓扑空间偶范畴, 同伦单(满)态射, 同伦正则态射, 标准分解The Category of Topological Pairs; Homotopy Monomorphism (Epimorphism); Homotopy
Regular Morphism; Standard Decomposition
期刊名称:
《Pure Mathematics》, Vol.3 No.1, 2013-01-14
摘要:
本文将点标拓扑空间范畴中的同伦单、同伦满和同伦正则态射等概念推广到拓扑空间偶范畴的情形。研究了在中，同伦正则态射存在的条件、性质以及它与同伦单(满)态和同伦等价之间的关系。In this paper, the concepts of homotopy monomorphism (epimorphism) and homotopy regular morphism in the category of topological space with base point are generalized to the category of topological pairs . The paper studies the conditions and properties of homotopy regular morphism and the relationships between homotopy monomorphism (epimorphism) and homotopy equivalent morphism in .