The Library
Diagrams and the second homotopy group
Tools
UNSPECIFIED (2005) Diagrams and the second homotopy group. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 13 (4). pp. 801-820. ISSN 1019-8385.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
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 | ||||
Official Date: | October 2005 | ||||
Dates: |
|
||||
Volume: | 13 | ||||
Number: | 4 | ||||
Number of Pages: | 20 | ||||
Page Range: | pp. 801-820 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |