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

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.

preprint2014arXivOpen access
Jonathan Ariel BarmakIván Sadofschi Costa
math.AT
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Jonathan Ariel BarmakIván Sadofschi Costa

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