Algebraic models for homotopy types.

  1. Rubio, J. 1
  2. Sergeraert, F. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Joseph Fourier University
    info

    Joseph Fourier University

    Grenoble, Francia

    ROR https://ror.org/02aj0kh94

Revista:
Homology, Homotopy and Applications

ISSN: 1532-0073

Año de publicación: 2005

Volumen: 7

Número: 2

Páginas: 139-160

Tipo: Artículo

DOI: 10.4310/HHA.2005.V7.N2.A8 SCOPUS: 2-s2.0-29244485435 WoS: WOS:000241554900009 GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Homology, Homotopy and Applications

Repositorio institucional: lock_openAcceso abierto Editor

Resumen

The classical problem of algebraic models for homotopy types is precisely stated here in terms of our ability to compute with the models. Two different natural statements for this problem are produced, the simplest one being entirely solved by the notion of SSEH-structure, due to the authors. Other tentative solutions, Postnikov towers and E∞-chain complexes, are considered and compared with the SSEH-structures. In particular, an imprecision in the usual definition of the k- "invariants" is explained, which implies we seem far from a solution for the ideal statement of our problem. On the positive side, the problem stated below in the framed quotation is solved.