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.
Citation
Iván Sadofschi Costa. "Presentation complexes with the fixed point property." Geom. Topol. 21 (2) 1275 - 1283, 2017. https://doi.org/10.2140/gt.2017.21.1275
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