A colimit of classifying spaces

Details A colimit of classifying spaces A colimit of classifying spaces

2008-04-22

arxiv.org/abs/0804.3581v1

Advances in Math. 223 (2010), 2097-2113

Mathematics

Group Theory

16 pages

Scientific paper

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.

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