Can one classify finite Postnikov pieces?

Details Can one classify finite Postnikov pieces? Can one classify finite Postnikov pieces?

2009-08-24

arxiv.org/abs/0908.3393v1

Bull. Lond. Math. Soc. 42 (2010), no. 4, 661-672

Mathematics

Algebraic Topology

13 pages

Scientific paper

10.1112/blms/bdq027

We compare the classical approach of constructing finite Postnikov systems by
k-invariants and the global approach of Dwyer, Kan, and Smith. We concentrate
on the case of 3-stage Postnikov pieces and provide examples where a
classification is feasible. In general though the computational difficulty of
the global approach is equivalent to that of the classical one.

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