A proof of the Moore theorem which in the case of a principal fibration gives a spectral sequence converging to the homology of the base space is given. Also computed is the algebra structure of the homology of the Grassmannians, using Hopf algebra techniques and the cohomology of Grassmanians. Finally, it is shown that a spectral sequence for regular covering which was constructed earlier is a special case of the Moore Theorem. / Science, Faculty of / Mathematics, Department of / Graduate
Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/21348 |
Date | January 1979 |
Creators | Donmez, Dogan |
Source Sets | University of British Columbia |
Language | English |
Detected Language | English |
Type | Text, Thesis/Dissertation |
Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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