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LIGHT FACTORIZATION STRUCTURES

 

作者: H. Herrlich,   G. Salicrup,   R. Vézquez,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1979）
卷期: Volume 3, issue 3  

页码: 189-213

 

ISSN:1607-3606

 

年代: 1979

 

DOI:10.1080/16073606.1979.9631571

 

出版商: Taylor & Francis Group

 

关键词: 18A20;54C10;54A05;54D05;Topological category;factorization Structure;connection subcategory;component;quasicomponent

 

数据来源: Taylor

 

摘要:

In this paper we investigate, for connection subcategoriesAof a topological categoryK, the concepts ofA-monotone quotients andA-light sources, and characterize (1) thoseA, which give rise to an (A-monotone quotient,A-light)- factorization structure onK, (2) those factorization structures (C,D) onK, which are light, i.e. of the form (A-monotone quotient,A-light) for suitableA. It turns out that light factorization structures are rather rare inTop, but abundant and well-behaved in categories with hereditary quotients.

 

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