Artículo
Barmak, J.A. "The fixed point property in every weak homotopy type" (2016) American Journal of Mathematics. 138(5):1425-1438
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | The fixed point property in every weak homotopy type |
| Autor: | Barmak, J.A. |
| Filiación: | Departamento de Matematica, Fceyn-Universidad de Buenos Aires, Buenos Aires, Argentina |
| Año: | 2016 |
| Volumen: | 138 |
| Número: | 5 |
| Página de inicio: | 1425 |
| Página de fin: | 1438 |
| DOI: | http://dx.doi.org/10.1353/ajm.2016.0042 |
| Título revista: | American Journal of Mathematics |
| Título revista abreviado: | Am. J. Math. |
| ISSN: | 00029327 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029327_v138_n5_p1425_Barmak |
Referencias:
- Baclawski, K., Björner, A., Fixed points in partially ordered sets, Adv (1979) Math, 31 (3), pp. 263-287
- Barmak, J.A., Springer-Verlag (2011) Algebraic Topology of Finite Topological Spaces and Applications, Lecture Notes in Math., p. 2032
- Barmak, J.A., Minian, E.G., Simple homotopy types and finite spaces (2008) Adv. Math, 218 (1), pp. 87-104
- Barmak, J.A., Minian, E.G., G-Colorings of Posets, Coverings and Presentations of the Fundamental Group, Preprint, , https://arxiv.org/abs/1212.6442
- Hatcher, A., (2002) Algebraic Topology, , Cambridge University Press, Cambridge
- Jiang, B.J., On the least number of fixed points (1980) Amer. J. Math, 102 (4), pp. 749-763
- Kun, G., (2003) On the Fundamental Group of Posets, , Master’s thesis, Eötvös Loránd University
- Lopez, W., An example in the fixed point theory of polyhedra (1967) Bull. Amer. Math. Soc, 73, pp. 922-924
- McCord, M.C., (1966) Duke Math. J, 33, pp. 465-474. , Singular homology groups and homotopy groups of finite topological spaces
- Spanier, E.H., (1966) Algebraic Topology, , McGraw-Hill Book Co., New York
- Waggoner, R., A fixed point theorem for (N−2)-connected n-polyhedra (1972) Proc. Amer. Math. Soc, 33, pp. 143-145
Citas:
---------- APA ----------
(2016) . The fixed point property in every weak homotopy type. American Journal of Mathematics, 138(5), 1425-1438.http://dx.doi.org/10.1353/ajm.2016.0042
---------- CHICAGO ----------
Barmak, J.A. "The fixed point property in every weak homotopy type" . American Journal of Mathematics 138, no. 5 (2016) : 1425-1438.http://dx.doi.org/10.1353/ajm.2016.0042
---------- MLA ----------
Barmak, J.A. "The fixed point property in every weak homotopy type" . American Journal of Mathematics, vol. 138, no. 5, 2016, pp. 1425-1438.http://dx.doi.org/10.1353/ajm.2016.0042
---------- VANCOUVER ----------
Barmak, J.A. The fixed point property in every weak homotopy type. Am. J. Math. 2016;138(5):1425-1438.http://dx.doi.org/10.1353/ajm.2016.0042
