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The moore spectral sequence for principal fibrations Donmez, Dogan

Abstract

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.

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