On Homotopy Regular Morphism in the Category of Topological Pairs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013Publisher:Hans PublishersJournal:Pure Mathematics, volume 3, pages 14-17 (issn: 2160-7583, eissn: 2160-7605,

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doi: 10.12677/pm.2013.31004

On Homotopy Regular Morphism in the Category of Topological Pairs

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Abstract

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 .

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