On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra

Jonathan Ariel Barmak; Iván Sadofschi Costa

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arXiv · 1412.8737

On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra

Jonathan Ariel Barmak·Iván Sadofschi Costa

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Abstract

In 1969 R.H. Bing asked the following question: Is there a compact two-dimensional polyhedron with the fixed point property which has even Euler characteristic? In this paper we prove that there are no spaces with these properties and abelian fundamental group. We also show that the fundamental group of an example cannot have trivial Schur multiplier.

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Jonathan Ariel Barmak, Iván Sadofschi Costa. 2014-12-30. On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra. https://arxiv.org/abs/1412.8737

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