Abstract
Suppose that X is a simply connected topological space with rational homology of finite type. In this section we describe the implications for π* (X) ⊗ ℚ of the hypothesis that X has finite rational category. If dim π* (X) ⊗ ℚ is finite then X is rationally elliptic (Proposition 32.4) and its properties are described in §32. Thus the focus here is on spaces X such that dim π* (X) ⊗ ℚ = ∞.
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© 2001 Springer Science+Business Media New York
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Félix, Y., Halperin, S., Thomas, JC. (2001). Growth of Rational Homotopy Groups. In: Rational Homotopy Theory. Graduate Texts in Mathematics, vol 205. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0105-9_34
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DOI: https://doi.org/10.1007/978-1-4613-0105-9_34
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6516-0
Online ISBN: 978-1-4613-0105-9
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