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Homotopy Operations and Rational Homotopy Type

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Categorical Decomposition Techniques in Algebraic Topology

Part of the book series: Progress in Mathematics ((PM,volume 215))

Abstract

In [HS] and [F1] Halperin, Stasheff, and Félix showed how an inductively-defined sequence of elements in the cohomology of a graded commutative algebra over the rationals can be used to distinguish among the homotopy types of all possible realizations, thus providing a collection of algebraic invariants for distinguishing among rational homotopy types of spaces. There is also a dual version, in the setting of graded Lie algebras (see [O]).

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of Haifa, Haifa, 31905, Israel

    David Blanc

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  1. David Blanc
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Editors and Affiliations

  1. Department of Mathematics, University of Virginia, P.O. Box 400137, Charlottesville, VA, 22904, USA

    Gregory Arone

  2. Department of Mathematical Sciences, University of Aberdeen, Aberdeen, AB24 3UE, UK

    John Hubbuck , Ran Levi  & Michael Weiss ,  & 

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Blanc, D. (2003). Homotopy Operations and Rational Homotopy Type. In: Arone, G., Hubbuck, J., Levi, R., Weiss, M. (eds) Categorical Decomposition Techniques in Algebraic Topology. Progress in Mathematics, vol 215. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7863-0_4

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  • DOI: https://doi.org/10.1007/978-3-0348-7863-0_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9601-6

  • Online ISBN: 978-3-0348-7863-0

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