Postnikov "invariants" in 2004

  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 Institut Fourier
    info

    Institut Fourier

    Saint-Martin-d’Hères, Francia

    ROR https://ror.org/05rwrfh97

Revue:
Georgian Mathematical Journal

ISSN: 1072-947X

Année de publication: 2005

Volumen: 12

Número: 1

Pages: 139-155

Type: Article

SCOPUS: 2-s2.0-33749064714 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Georgian Mathematical Journal

Dépôt institutionnel: lock_openAccès ouvert Editor

Résumé

The very nature of the so-called Postnikov invariants is carefully studied. Two functors, precisely defined, explain the exact nature of the connection between the category of topological spaces and the category of Postnikov towers. On one hand, these functors are in particular effective and lead to concrete machine computations through the general machine program Kenzo. On the other hand, the Postnikov «invariants» will be actual invariants only when an arithmetical decision problem – currently open – will be solved; it is even possible this problem is undecidable