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Georgian Mathematical Journal 13 (2006), No. 4, 649--658
Copyright Heldermann Verlag 2006



A Local System of Spaces and a Bigraded Model of Fibration

Nodar Berikashvili
A. Razmadze Math. Institute, 1 M. Aleksidze Street, Tbilisi 0193, Georgia
berika@rmi.acnet.ge



On the singular complex of a space, a local system of acyclic spaces is constructed leading, for Serre fibrations, to a bigraded differential model for the chain complex of the total space.

Keywords: Local system, singular complex, spectral sequence, bigraded model, bigraded algebra.

MSC: 55T10, 55R20, 55N10, 55S05

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