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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn061, 5 pages, doi:10.1093/imrn/rnn061 published on June 13, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Homotopy Exponents for Large H-Spaces

Wojciech Chachólski1, Wolfgang Pitsch2, Jérôme Scherer2 and Don Stanley3

1 The Royal Institute of Technology, Matematik, S-10044 Stockholm, Sweden
2 Universitat Autònoma de Barcelona, Departament de Matemàtiques, E-08193 Bellaterra, Spain
3 Department of Mathematics and Statistics, University of Regina, College West 307.14, Regina, Saskatchewan S4S 0A2, Canada

Correspondence: Correspondence to be sent to: pitsch{at}mat.uab.cat

We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley.


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