The fixed point property in every weak homotopy type
We prove that for any connected compact CW-complex K there exists a space X weak homotopy equivalent to K which has the fixed point property, that is, every continuous map X → X has a fixed point. The result is known to be false if we require X to be a polyhedron. The space X we construct is a non-H...
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| Formato: | Capítulo de libro |
| Lenguaje: | Inglés |
| Publicado: |
Johns Hopkins University Press
2016
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| Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 03752caa a22004577a 4500 | ||
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| 001 | PAPER-15686 | ||
| 003 | AR-BaUEN | ||
| 005 | 20230518204627.0 | ||
| 008 | 190411s2016 xx ||||fo|||| 00| 0 eng|d | ||
| 024 | 7 | |2 scopus |a 2-s2.0-84991072061 | |
| 040 | |a Scopus |b spa |c AR-BaUEN |d AR-BaUEN | ||
| 100 | 1 | |a Barmak, J.A. | |
| 245 | 1 | 4 | |a The fixed point property in every weak homotopy type |
| 260 | |b Johns Hopkins University Press |c 2016 | ||
| 270 | 1 | 0 | |m Barmak, J.A.; Departamento de Matematica, Fceyn-Universidad de Buenos AiresArgentina; email: jbarmak@dm.uba.ar |
| 506 | |2 openaire |e Política editorial | ||
| 504 | |a Baclawski, K., Björner, A., Fixed points in partially ordered sets, Adv (1979) Math, 31 (3), pp. 263-287 | ||
| 504 | |a Barmak, J.A., Springer-Verlag (2011) Algebraic Topology of Finite Topological Spaces and Applications, Lecture Notes in Math., p. 2032 | ||
| 504 | |a Barmak, J.A., Minian, E.G., Simple homotopy types and finite spaces (2008) Adv. Math, 218 (1), pp. 87-104 | ||
| 504 | |a Barmak, J.A., Minian, E.G., G-Colorings of Posets, Coverings and Presentations of the Fundamental Group, Preprint, , https://arxiv.org/abs/1212.6442 | ||
| 504 | |a Hatcher, A., (2002) Algebraic Topology, , Cambridge University Press, Cambridge | ||
| 504 | |a Jiang, B.J., On the least number of fixed points (1980) Amer. J. Math, 102 (4), pp. 749-763 | ||
| 504 | |a Kun, G., (2003) On the Fundamental Group of Posets, , Master’s thesis, Eötvös Loránd University | ||
| 504 | |a Lopez, W., An example in the fixed point theory of polyhedra (1967) Bull. Amer. Math. Soc, 73, pp. 922-924 | ||
| 504 | |a McCord, M.C., (1966) Duke Math. J, 33, pp. 465-474. , Singular homology groups and homotopy groups of finite topological spaces | ||
| 504 | |a Spanier, E.H., (1966) Algebraic Topology, , McGraw-Hill Book Co., New York | ||
| 504 | |a Waggoner, R., A fixed point theorem for (N−2)-connected n-polyhedra (1972) Proc. Amer. Math. Soc, 33, pp. 143-145 | ||
| 520 | 3 | |a We prove that for any connected compact CW-complex K there exists a space X weak homotopy equivalent to K which has the fixed point property, that is, every continuous map X → X has a fixed point. The result is known to be false if we require X to be a polyhedron. The space X we construct is a non-Hausdorff space with finitely many points. © 2016 by Johns Hopkins University Press. |l eng | |
| 536 | |a Detalles de la financiación: PIP 112-201101-00746 | ||
| 536 | |a Detalles de la financiación: PICT-2011-0812 | ||
| 536 | |a Detalles de la financiación: Consejo Nacional de Investigaciones Científicas y Técnicas, UBACyT 20020100300043 | ||
| 536 | |a Detalles de la financiación: Research supported by CONICET, and supported in part by grants UBACyT 20020100300043, CONICET PIP 112-201101-00746, and ANPCyT PICT-2011-0812. | ||
| 593 | |a Departamento de Matematica, Fceyn-Universidad de Buenos Aires, Buenos Aires, Argentina | ||
| 773 | 0 | |d Johns Hopkins University Press, 2016 |g v. 138 |h pp. 1425-1438 |k n. 5 |p Am. J. Math. |x 00029327 |w (AR-BaUEN)CENRE-243 |t American Journal of Mathematics | |
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| 856 | 4 | 0 | |u https://doi.org/10.1353/ajm.2016.0042 |y DOI |
| 856 | 4 | 0 | |u https://hdl.handle.net/20.500.12110/paper_00029327_v138_n5_p1425_Barmak |y Handle |
| 856 | 4 | 0 | |u https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029327_v138_n5_p1425_Barmak |y Registro en la Biblioteca Digital |
| 961 | |a paper_00029327_v138_n5_p1425_Barmak |b paper |c PE | ||
| 962 | |a info:eu-repo/semantics/article |a info:ar-repo/semantics/artículo |b info:eu-repo/semantics/publishedVersion | ||
| 999 | |c 76639 | ||