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. ©...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 2017
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14653060_v21_n2_p1275_Costa
http://hdl.handle.net/20.500.12110/paper_14653060_v21_n2_p1275_Costa
Aporte de:
Descripción
Sumario: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.