English

Category of Noncommutative CW Complexes

Quantum Algebra 2014-06-09 v1 K-Theory and Homology

Abstract

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.

Keywords

Cite

@article{arxiv.0707.0191,
  title  = {Category of Noncommutative CW Complexes},
  author = {Do Ngoc Diep},
  journal= {arXiv preprint arXiv:0707.0191},
  year   = {2014}
}

Comments

LaTeX2e, 12 pages, no figures

R2 v1 2026-06-21T08:54:18.247Z