English

Computation and Homotopical Applications of Induced Crossed Modules

Algebraic Topology 2007-05-23 v1 Category Theory

Abstract

We explain how the computation of induced crossed modules allows the computation of certain homotopy 2-types and, in particular, second homotopy groups. We discuss various issues involved in computing induced crossed modules and give some examples and applications.

Cite

@article{arxiv.math/0209068,
  title  = {Computation and Homotopical Applications of Induced Crossed Modules},
  author = {Ronald Brown and Christopher D. Wensley},
  journal= {arXiv preprint arXiv:math/0209068},
  year   = {2007}
}

Comments

15 pages, xypic, latex2E

R2 v1 2026-07-22T16:47:28.635Z