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Leray-Serre filtration

Of special interest is the pullback filtration of the topological skeleton filtration on Y. A similar filtration arising from fiber bundles is called the Leray-Serre filtration. We extend the use of this name to our more general case, and we also use it for the corresponding filtration on the cellular cochain complex of X. [Pg.276]

C (Hom+(T, G)) consisting of a single simplex (with coefficient 1) indexed by 77 when no confusion arises, we identify this chain with the simplex itself. Furthermore, we let denote the corresponding dual cochain. We consider the Leray-Serre filtration of the cellular cochain complex C (Hom (T, G) Z2) associated with the support map. To describe the considered filtration explicitly, define the subcomplexes = F G (Hom+(T, G) Z2) of G (Hom+(T, G) Z2) as follows ... [Pg.354]


See also in sourсe #XX -- [ Pg.276 ]




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