Presentation complexes with the fixed point property

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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Autor principal: Costa, I.S.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14653060_v21_n2_p1275_Costa
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_14653060_v21_n2_p1275_Costa2023-10-03T16:17:18Z Presentation complexes with the fixed point property Costa, I.S. 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. © 2017, Mathematical Sciences Publishers. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_14653060_v21_n2_p1275_Costa
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description 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. © 2017, Mathematical Sciences Publishers. All rights reserved.
format JOUR
author Costa, I.S.
spellingShingle Costa, I.S.
Presentation complexes with the fixed point property
author_facet Costa, I.S.
author_sort Costa, I.S.
title Presentation complexes with the fixed point property
title_short Presentation complexes with the fixed point property
title_full Presentation complexes with the fixed point property
title_fullStr Presentation complexes with the fixed point property
title_full_unstemmed Presentation complexes with the fixed point property
title_sort presentation complexes with the fixed point property
url http://hdl.handle.net/20.500.12110/paper_14653060_v21_n2_p1275_Costa
work_keys_str_mv AT costais presentationcomplexeswiththefixedpointproperty
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