nLab
Homotopy Types
Homotopy Types
This 72 page article, by Hans Baues, is to be found in the Handbook of Algebraic Topology. It starts from a basic position and attacks three main topics:

Homotopy types with nontrivial fundamental group (Sections 2  5);

Homotopy types with trivial fundamental group (Sections 6  9, 12);

Stable homotopy types (Sections 10 and 11).
Contents
1 What are homotopy types?
2 How to build homotopy types
3 Whitehead’s realization problem
4 Algebraic models of $n$types
5 Cohomology of groups and cohomology of categories
6 Simply connectd homotopy types and $H\pi$duality
7 The Hurewicz homomorphism
8 Postnikov invariants and boundary invariants
9 The classification theorems
10 Stable homotopy types
11 Decomposition of stable homotopy types
12 Localization
References
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Revised on September 10, 2012 20:38:26
by
Tim Porter
(95.147.237.220)