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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Detalles Bibliográficos
Autor principal: Costa, I.S.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_14653060_v21_n2_p1275_Costa
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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.