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

Year 1984, Volume: 33 , - , 01.01.1984
https://doi.org/10.1501/Commua1_0000000568

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 (again on the coef- fi cient ring alone) imply the finiteness of homological dimension of generalized homology modules.

References

  • Communications, Series A1:Mathematics and Statistics
Year 1984, Volume: 33 , - , 01.01.1984
https://doi.org/10.1501/Commua1_0000000568

Abstract

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Şahin Koçak This is me

Publication Date January 1, 1984
Submission Date January 1, 1984
Published in Issue Year 1984 Volume: 33

Cite

APA Koçak, Ş. (1984). On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-complexes. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 33. https://doi.org/10.1501/Commua1_0000000568
AMA Koçak Ş. On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-complexes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 1984;33. doi:10.1501/Commua1_0000000568
Chicago Koçak, Şahin. “On Finiteness of Homological Dimension of Generalized Homology Modules of Finite-Dimensional CW-Complexes”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33, January (January 1984). https://doi.org/10.1501/Commua1_0000000568.
EndNote Koçak Ş (January 1, 1984) On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-complexes. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33
IEEE Ş. Koçak, “On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-complexes”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 33, 1984, doi: 10.1501/Commua1_0000000568.
ISNAD Koçak, Şahin. “On Finiteness of Homological Dimension of Generalized Homology Modules of Finite-Dimensional CW-Complexes”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 33 (January 1984). https://doi.org/10.1501/Commua1_0000000568.
JAMA Koçak Ş. On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-complexes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1984;33. doi:10.1501/Commua1_0000000568.
MLA Koçak, Şahin. “On Finiteness of Homological Dimension of Generalized Homology Modules of Finite-Dimensional CW-Complexes”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 33, 1984, doi:10.1501/Commua1_0000000568.
Vancouver Koçak Ş. On finiteness of homological dimension of generalized homology modules of finite-dimensional CW-complexes. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 1984;33.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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