Computing Homotopy Types Using Crossed N-Cubes of Groups

Details Computing Homotopy Types Using Crossed N-Cubes of Groups Computing Homotopy Types Using Crossed N-Cubes of Groups

2001-09-14

arxiv.org/abs/math/0109091v2

Adams Memorial Symposium on Algebraic Topology, Vol 1, edited N. Ray and G Walker, Cambridge University Press, 1992, 187-210

Mathematics

Algebraic Topology

27 pages, uses xypic This paper is an edited version in LaTeX of the paper of the same title which appeared in the Adams Memor

Scientific paper

The aim of this paper is to explain how, through the work of a number of
people, some algebraic structures related to groupoids have yielded algebraic
descriptions of homotopy n-types. Further, these descriptions are explicit, and
in some cases completely computable, in a way not possible with the traditional
Postnikov systems, or with other models, such as simplicial groups.

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