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Homotopy exponents for spaces of category two

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Book cover Algebraic Topology

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1370))

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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Authors and Affiliations

  1. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA

    David J. Anick

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  1. David J. Anick
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Gunnar Carlsson Ralph Cohen Haynes Miller Douglas Ravenel

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© 1989 Springer-Verlag

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51118-2

  • Online ISBN: 978-3-540-46160-9

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