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...

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Detalles Bibliográficos
Autor principal: Barmak, Jonathan A.
Publicado: 2017
Materias:
Fixed point property
Homotopy classification
Nielsen fixed point theory
Two-dimensional complexes
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v305_n_p339_Barmak
http://hdl.handle.net/20.500.12110/paper_00018708_v305_n_p339_Barmak
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00018708_v305_n_p339_Barmak
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spelling paper:paper_00018708_v305_n_p339_Barmak2023-06-08T14:21:50Z On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra Barmak, Jonathan A. Fixed point property Homotopy classification Nielsen fixed point theory Two-dimensional complexes 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. © 2016 Elsevier Inc. Fil:Barmak, J.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v305_n_p339_Barmak http://hdl.handle.net/20.500.12110/paper_00018708_v305_n_p339_Barmak
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fixed point property
Homotopy classification
Nielsen fixed point theory
Two-dimensional complexes
spellingShingle Fixed point property
Homotopy classification
Nielsen fixed point theory
Two-dimensional complexes
Barmak, Jonathan A.
On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
topic_facet Fixed point property
Homotopy classification
Nielsen fixed point theory
Two-dimensional complexes
description 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. © 2016 Elsevier Inc.
author Barmak, Jonathan A.
author_facet Barmak, Jonathan A.
author_sort Barmak, Jonathan A.
title On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
title_short On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
title_full On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
title_fullStr On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
title_full_unstemmed On a question of R.H. Bing concerning the fixed point property for two-dimensional polyhedra
title_sort on a question of r.h. bing concerning the fixed point property for two-dimensional polyhedra
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00018708_v305_n_p339_Barmak
http://hdl.handle.net/20.500.12110/paper_00018708_v305_n_p339_Barmak
work_keys_str_mv AT barmakjonathana onaquestionofrhbingconcerningthefixedpointpropertyfortwodimensionalpolyhedra
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