n-groupoids from n-truncated simplicial objects as a solution to a universal problem

Authors
Bourn, D
Citation
D. Bourn, n-groupoids from n-truncated simplicial objects as a solution to a universal problem, J PURE APPL, 154(1-3), 2000, pp. 71-102
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
154
Issue
1-3
Year of publication
2000
Pages
71 - 102
Database
ISI
SICI code
0022-4049(200012)154:1-3<71:NFNSOA>2.0.ZU;2-P
Abstract
Forcing, in a certain fibration tau :E --> B, a terminal object to be also initial, i.e. imposing some coherent splittings on some maps, allows one to recover n-groupoids from n-truncated simplicial objects and to control the machinery of the nerve functor for n-groupoids. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: Primary 18G30; secondary 18D05; 18D30; 55U10 .