Algebraic and Geometric Topology 3 (2003), paper no. 6, pages 147-154.

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

Daniel T. Wise


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

AMS subject classification. Primary: 20F67. Secondary: 20F06.

DOI: 10.2140/agt.2003.3.147

E-print: arXiv:math.GR/0303071

Submitted: 27 January 2003. Accepted: 11 February 2003. Published: 20 February 2003.

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Daniel T. Wise
Department of Mathematics and Statistics, McGill University
Montreal, Quebec H3A 2K6, Canada
Email: wise@math.mcgill.ca

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