Presentation complexes with the fixed point property

Iván Sadofschi Costa

doi:10.2140/gt.2017.21.1275

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Home > Journals > Geom. Topol. > Volume 21 > Issue 2 > Article

2017 Presentation complexes with the fixed point property

Iván Sadofschi Costa

Geom. Topol. 21(2): 1275-1283 (2017). DOI: 10.2140/gt.2017.21.1275

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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.

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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