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Cohomological Methods in Homotopy Theory pp 103–130Cite as

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Structure of mod p H-spaces with finiteness conditions

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Part of the book series: Progress in Mathematics ((PM,volume 196))

Abstract

The aim of this paper is to prove in full generality that a 1-connected mod p H-space with noetherian mod p cohomology is, up to p-completion, the total space of a principal fibration with base a mod p finite H-space and fibre a product of a finite number of copies of ℂP∞. The case p = 2 was considered in [5].

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Author information

Authors and Affiliations

  1. Centre de Recerca Matermàtica, Institut d’Estudis Catalans, E-08193, Bellaterra, Spain

    Juan A. Crespo

Authors
  1. Juan A. Crespo
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Editor information

Editors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Jaume Aguadé , Carles Broto  & Carles Casacuberta ,  & 

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© 2001 Springer Basel AG

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Crespo, J.A. (2001). Structure of mod p H-spaces with finiteness conditions. In: Aguadé, J., Broto, C., Casacuberta, C. (eds) Cohomological Methods in Homotopy Theory. Progress in Mathematics, vol 196. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8312-2_10

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  • DOI: https://doi.org/10.1007/978-3-0348-8312-2_10

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9513-2

  • Online ISBN: 978-3-0348-8312-2

  • eBook Packages: Springer Book Archive

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