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

Journal:
Georgian Mathematical Journal

ISSN: 1072-947X

Year of publication: 2005

Volume: 12

Issue: 1

Pages: 139-155

Type: Article

SCOPUS: 2-s2.0-33749064714 GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Georgian Mathematical Journal

Institutional repository: lock_openOpen access Editor

Abstract

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