Work

Computing Homotopy Types Using Crossed N-Cubes of Groups

Year: 2001

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0109091

Author: Brown, Ronald

Institution: Bangor University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1768118948

Cites: 38

Cited by: 22

Related to: 10