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  • Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
  • Volume:33
  • On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-comp...

On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-complexes

Authors : Şahin KOÇAK
Pages : 0-0
Doi:10.1501/Commua1_0000000568
View : 32 | Download : 13
Publication Date : 1984-01-01
Article Type : Research Paper
Abstract :The finiteness of homological dimension of complex bordism and cobordism modules of finite CW-complexes ,was proved by Adams [1 ] and Conner-Smith [5 ]. It was proved by Koçak [7 ] that homological dimensions of complex bordism modules of finite-dimensional CW-comp~ lexes are stili finite. We now give some conditions for the finiteness of homological dimension of generalized homology modules of finite - dimensional CW-complexes. In the case of finite CW- complexes the coherence of the coefficient ring and one additional condition insert ignore into journalissuearticles values(again on the coef- fi cient ring alone); imply the finiteness of homological dimension of generalized homology modules.
Keywords : homological, homology, modules

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