Category of Noncommutative CW complexes. III

Details Category of Noncommutative CW complexes. III Category of Noncommutative CW complexes. III

2002-11-04

arxiv.org/abs/math/0211047v3

Mathematics

Quantum Algebra

LaTeX2e, 10 pages, no figure

Scientific paper

We prove in this paper a noncommutative version of Leray Spectral Sequence Theorem and then Leray-Serre Spectral Theorem for noncommutative Serre fibrations: for NC Serre fibration there are converging spectral sequences with $\E^2$ terms as $\E^2_{p,q} = \HP_p(A; \HP_q(B,A)) \Longrightarrow \HP_{p+q}(B)$ and $\E^2_{p,q} = \HP_p(A;\K_q(B,A)) \Longrightarrow \K_{p+q}(B)$.

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