UNSPECIFIED (2005) Diagrams and the second homotopy group. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 13 (4). pp. 801-820. ISSN 1019-8385

Full text not available from this repository.

Abstract

We use Klyachko's methods [4, 6, 7, 10] to prove that, if a 1-cell and a 2-cell are added to a complex with torsion-free fundamental group, and with the 2-cell attached by an amenable t-shape, then pi(2) changes by extension of scalars. It then follows using a result of [2] that the resulting fundamental group is also torsion free. We also prove that the normal closure of the attaching word contains no words of smaller complexity.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Journal or Publication Title:	COMMUNICATIONS IN ANALYSIS AND GEOMETRY
Publisher:	INT PRESS CO LTD
ISSN:	1019-8385
Date:	October 2005
Volume:	13
Number:	4
Number of Pages:	20
Page Range:	pp. 801-820
Publication Status:	Published
URI:	http://wrap.warwick.ac.uk/id/eprint/34026

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item