Diagrams and the second homotopy group
UNSPECIFIED. (2005) Diagrams and the second homotopy group. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 13 (4). pp. 801-820. ISSN 1019-8385Full text not available from this repository.
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  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|
|Official Date:||October 2005|
|Number of Pages:||20|
|Page Range:||pp. 801-820|
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