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A flat plane that is not the limit of periodic flat planes

Daniel T Wise
Algebraic & Geometric Topology 3 (2003) 147–154
DOI: 10.2140/agt.2003.3.147

arXiv: math.GR/0303071
Abstract

We construct a compact nonpositively curved squared 2–complex whose universal cover contains a flat plane that is not the limit of periodic flat planes.

Keywords
CAT(0), periodic flat planes, $C(4)$–$T(4)$ complexes
Mathematical Subject Classification 2000
Primary: 20F67
Secondary: 20F06
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Publication
Received: 27 January 2003
Accepted: 11 February 2003
Published: 20 February 2003
Authors
Daniel T Wise
Department of Mathematics and Statistics
McGill University
Montreal
Quebec H3A 2K6
Canada