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Abstract:

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.

Registro:

Documento: Artículo
Título:Presentation complexes with the fixed point property
Autor:Costa, I.S.
Filiación:Departamento de Matemática, Universidad de Buenos Aires Ciudad Universitaria, Pabellón I, C1428EGA, Buenos Aires, Argentina
Año:2017
Volumen:21
Número:2
Página de inicio:1275
Página de fin:1283
DOI: http://dx.doi.org/10.2140/gt.2017.21.1275
Título revista:Geometry and Topology
Título revista abreviado:Geom. Topol.
ISSN:14653060
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_14653060_v21_n2_p1275_Costa

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Citas:

---------- APA ----------
(2017) . Presentation complexes with the fixed point property. Geometry and Topology, 21(2), 1275-1283.
http://dx.doi.org/10.2140/gt.2017.21.1275
---------- CHICAGO ----------
Costa, I.S. "Presentation complexes with the fixed point property" . Geometry and Topology 21, no. 2 (2017) : 1275-1283.
http://dx.doi.org/10.2140/gt.2017.21.1275
---------- MLA ----------
Costa, I.S. "Presentation complexes with the fixed point property" . Geometry and Topology, vol. 21, no. 2, 2017, pp. 1275-1283.
http://dx.doi.org/10.2140/gt.2017.21.1275
---------- VANCOUVER ----------
Costa, I.S. Presentation complexes with the fixed point property. Geom. Topol. 2017;21(2):1275-1283.
http://dx.doi.org/10.2140/gt.2017.21.1275