FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 5, PAGES 117-149

Theory of spectral sequences. II

Ju. T. Lisica

Abstract

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In this paper, we continue to discuss the theory of spectral sequences in Abelian categories. In this connection, attention is paid to display different dualities in the theory of spectral sequences. The duality in locally convex, topological vector spaces is of special interest. We use results of functional analysis for decision of (co)homology problems (theorems on nondegenerate pairing (co)homology) of manifolds.

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Last modified: February 26, 2006