Abstract
Let X be a simply-connected finite CW complex of Lusternik-Schnirelmann category two. There is finite set P of primes, depending upon X, such that the following holds at any p≥P. The total rational homotopy group π*(X)⊗Q is finite-dimensional if and only if X has a homotopy exponent at p.
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Anick, D.J. (1989). Homotopy exponents for spaces of category two. In: Carlsson, G., Cohen, R., Miller, H., Ravenel, D. (eds) Algebraic Topology. Lecture Notes in Mathematics, vol 1370. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085216
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DOI: https://doi.org/10.1007/BFb0085216
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