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Extensions of chain functors

 

作者: Friedrich W. Bauer,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 9  

页码: 3331-3417

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408825031

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Chain functors for generalized homology theories;chain-continuity;h-adjointness (of functors between categories of chain functors);Primary: 55 U 15;Primary: 18 A 40;Primary: 54 B 30;Secondary: 55 N 20;Secondary: 55 N 40

 

数据来源: Taylor

 

摘要:

LetKbe a category of topological spaces andP⊂Ka subcategory of good spaces; let moreoverCK(resp.Cp) be the associated category of chain functors (cf. 1.3.) onK(resp. onP) andthe restriction functor. The main theorem (theorem 1.4.2.) asserts the existence of a kind of right adjointwith the following properties: 1)sC*isc-continuous (cf. 1.2.); 2) ifdetermine isomorphic homology theories (onP) , then so do(now on the larger categoryK); 3)determine isomorphic homology theories onP.

 

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