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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Algebraic and geometric models for $ H\sb{0}$-spaces


Authors: J. Aguadé and A. Zabrodsky
Journal: Trans. Amer. Math. Soc. 273 (1982), 181-190
MSC: Primary 55P45; Secondary 55P62, 57T25
DOI: https://doi.org/10.1090/S0002-9947-1982-0664036-1
MathSciNet review: 664036
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Abstract: For every $ {H_0}$-space (i.e. a space whose rationalization is an $ H$-space) we construct a space $ J$ depending only on $ {H^\ast}(X;{\mathbf{Z}})$ and a rational homotopy equivalence $ J \to X$ (i.e. $ J$ is a universal space to the left of all $ {H_0}$-spaces having the same integral cohomology ring as $ X$ is constructed generalizing the James reduced product. We study also the integral cohomology of $ {H_0}$-spaces and we prove that under certain conditions it contains an algebra with divided powers.


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DOI: https://doi.org/10.1090/S0002-9947-1982-0664036-1
Article copyright: © Copyright 1982 American Mathematical Society