Note on the F 0 -spaces

• Autores: Mahmoud Benkhalifa
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 3, 2023, págs. 447-454
• Idioma: inglés
• DOI: 10.56754/0719-0646.2503.447
• Enlaces
  • Texto completo
• Resumen
  • español

    Resumen Un espacio racionalmente elíptico X se llama un espacio F 0 si su cohomología racional está concentrada en grados pares. El propósito de este artículo es caracterizar dichos espacios en términos de los grupos de homotopía tanto de sus esqueletos como de la cohomología racional de sus secciones de Postnikov.

  • English

    Abstract A rationally elliptic space X is called an F0-space if its rational cohomology is concentrated in even degrees. The aim of this paper is to characterize such a space in terms of the homotopy groups of its skeletons as well as the rational cohomology of its Postnikov sections.

• Referencias bibliográficas
  • Benkhalifa, M.. (2020). On the group of self-homotopy equivalences of an elliptic space. Proc. Amer. Math. Soc.. 148. 2695
  • Benkhalifa, M.. (2022). The effect of cell-attachment on the group of self-equivalences of an elliptic space. Michigan Math. J.. 71. 611
  • Benkhalifa, M.. (2022). On the Euler-Poincaré characteristics of a simply connected rationally elliptic CW-complex. J. Homotopy Relat. Struct.....
  • Benkhalifa, M.. (2023). The group of self-homotopy equivalences of a rational space cannot be a free abelian group. J. Math. Soc. Japan. 75....
  • Benkhalifa, M.. (2023). On the characterization of F0-spaces. Commun. Korean Math. Soc.. 38. 643
  • Benkhalifa, M.. (2023). On the group of self-homotopy equivalence of a formal F0-space. Bollettino dell’Unione Matematica Italiana. 16. 641
  • Benkhalifa, M.. (2023). On the group of self-homotopy equivalences of an almost formal space. Quaest. Math.. 46. 855
  • Félix, Y.,Halperin, S.,Thomas, J.-C.. (2001). Rational homotopy theory. Springer-Verlag. New York, USA.