Artículo
Barmak, J.A. "Spaces which Invert Weak Homotopy Equivalences" (2018) Proceedings of the Edinburgh Mathematical Society
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
It is well known that if X is a CW-complex, then for every weak homotopy equivalence f: A ?†' B, the map f∗: [X, A] ?†' [X, B] induced in homotopy classes is a bijection. In fact, up to homotopy equivalence, only CW-complexes have that property. Now, for which spaces X is f∗: [B, X] ?†' [A, X] a bijection for every weak equivalence f? This question was considered by J. Strom and T. Goodwillie. In this note we prove that a non-empty space inverts weak equivalences if and only if it is contractible. Copyright © Edinburgh Mathematical Society 2018.
Registro:
| Documento: | Artículo |
| Título: | Spaces which Invert Weak Homotopy Equivalences |
| Autor: | Barmak, J.A. |
| Filiación: | Departamento de Matemática, Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Buenos Aires, Argentina CONICET-Universidad de Buenos Aires, Instituto de Investigaciones Matemáticas Luis A. Santaló (IMAS), Buenos Aires, Argentina |
| Palabras clave: | homotopy types; non-Hausdorff spaces; weak homotopy equivalences |
| Año: | 2018 |
| DOI: | http://dx.doi.org/10.1017/S0013091518000639 |
| Título revista: | Proceedings of the Edinburgh Mathematical Society |
| Título revista abreviado: | Proc. Edinburgh Math. Soc. |
| ISSN: | 00130915 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00130915_v_n_p_Barmak |
Citas:
---------- APA ----------
(2018) . Spaces which Invert Weak Homotopy Equivalences. Proceedings of the Edinburgh Mathematical Society.http://dx.doi.org/10.1017/S0013091518000639
---------- CHICAGO ----------
Barmak, J.A. "Spaces which Invert Weak Homotopy Equivalences" . Proceedings of the Edinburgh Mathematical Society (2018).http://dx.doi.org/10.1017/S0013091518000639
---------- MLA ----------
Barmak, J.A. "Spaces which Invert Weak Homotopy Equivalences" . Proceedings of the Edinburgh Mathematical Society, 2018.http://dx.doi.org/10.1017/S0013091518000639
---------- VANCOUVER ----------
Barmak, J.A. Spaces which Invert Weak Homotopy Equivalences. Proc. Edinburgh Math. Soc. 2018.http://dx.doi.org/10.1017/S0013091518000639
