Presentation complexes with the fixed point property

Sadofschi Costa, Iván

doi:10.2140/gt.2017.21.1275

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Presentation complexes with the fixed point property

Iván Sadofschi Costa

Geometry & Topology 21 (2017) 1275–1283

DOI: 10.2140/gt.2017.21.1275

Abstract

We prove that there exists a compact two-dimensional polyhedron with the fixed point property and even Euler characteristic. This answers a question posed by R H Bing in 1969. We also settle a second question by Bing regarding the homotopy invariance of the fixed point property in low dimensions.

Keywords

fixed point property, two-dimensional complexes, efficient groups

Mathematical Subject Classification 2010

Primary: 55M20, 57M05, 57M20

References

Publication

Received: 15 February 2016

Revised: 1 March 2016

Accepted: 5 April 2016

Published: 17 March 2017

Proposed: Steve Ferry

Seconded: Ronald Stern, Peter Teichner

Authors

Iván Sadofschi Costa
Departamento de Matemática Universidad de Buenos Aires Ciudad Universitaria, Pabellón I C1428EGA Buenos Aires Argentina

Volume 21, issue 2 (2017)