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 (again on the coef- fi cient ring alone) imply the finiteness of homological dimension of generalized homology modules.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 1984 |
Submission Date | January 1, 1984 |
Published in Issue | Year 1984 Volume: 33 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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