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 non-trivial 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 -types
5 Cohomology of groups and cohomology of categories
6 Simply connectd homotopy types and -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
Linked Reference:
Last revised on September 10, 2012 at 20:38:26.
See the history of this page for a list of all contributions to it.