Category of Noncommutative CW Complexes

Details Category of Noncommutative CW Complexes Category of Noncommutative CW Complexes

2007-07-02

arxiv.org/abs/0707.0191v1

Mathematics

Quantum Algebra

LaTeX2e, 12 pages, no figures

Scientific paper

We expose the notion of noncommutative CW (NCCW) complexes, define
noncommutative (NC) mapping cylinder and NC mapping cone, and prove the
noncommutative Approximation Theorem. The long exact homotopy sequences
associated with arbitrary morphisms are also deduced.

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