Presentation complexes with the fixed point property

Sadofschi Costa, Iván¹

¹ Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, C1428EGA Buenos Aires, Argentina

Geometry & topology, Tome 21 (2017) no. 2, pp. 1275-1283.

Résumé

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.

Détail

DOI : 10.2140/gt.2017.21.1275

Classification : 55M20, 57M05, 57M20
Keywords: fixed point property, two-dimensional complexes, efficient groups

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