A colimit of classifying spaces
Group Theory
2010-09-01 v1 Algebraic Topology
Abstract
We recall a group-theoretic description of the first non-vanishing homotopy group of a certain (n+1)-ad of spaces and show how it yields several formulae for homotopy and homology groups of specific spaces. In particular we obtain an alternative proof of J. Wu's group-theoretic description of the homotopy groups of a 2-sphere.
Cite
@article{arxiv.0804.3581,
title = {A colimit of classifying spaces},
author = {Graham Ellis and Roman Mikhailov},
journal= {arXiv preprint arXiv:0804.3581},
year = {2010}
}
Comments
16 pages