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 grou...
| Authors: | , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2017 |
| Country: | Argentina |
| Institution: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repository: | CONICET Digital (CONICET) |
| Language: | English |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/55548 |
| Online Access: | http://hdl.handle.net/11336/55548 |
| Access Level: | Open access |
| Keyword: | Fixed Point Property Homotopy Classification Nielsen Fixed Point Theory Two-Dimensional Complexes https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Summary: | 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 such a complex cannot have trivial Schur multiplier. |
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