A closed model category for (n-1)-connected spaces

  1. Aldana, J.I.E. 1
  2. Paricio, L.J.H. 2
  3. Rodríguez, M.T.R. 1
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Revista:
Proceedings of the American Mathematical Society

ISSN: 0002-9939

Any de publicació: 1996

Volum: 124

Número: 11

Pàgines: 3545-3553

Tipus: Article

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DOI: 10.1090/S0002-9939-96-03606-4 SCOPUS: 2-s2.0-21444440811 WoS: WOS:A1996VY29000042 GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Proceedings of the American Mathematical Society

Repositori institucional: lock_openAccés obert Editor

Resum

For each integer n > 0, we give a distinct closed model category structure to the category of pointed spaces Top * such that the corresponding localized category Ho(Top * n) is equivalent to the standard homotopy category of (n - 1)-connected CW-complexes. The structure of closed model category given by Quillen to Top* is based on maps which induce isomorphisms on all homotopy group functors π q and for any choice of base point. For each n > 0, the closed model category structure given here takes as weak equivalences those maps that for the given base point induce isomorphisms on π q for q ≥ n. ©1096 American Mathematical Society.