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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Rational homotopy of the space of sections of a nilpotent bundle
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by André Haefliger PDF
Trans. Amer. Math. Soc. 273 (1982), 609-620 Request permission

Abstract:

We show that an algebraic construction proposed by Sullivan is indeed a model for the rational homotopy type of the space of sections of a nilpotent bundle.
References
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  • Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto, Ont.-London, 1966. MR 0210112
  • Dennis Sullivan, Infinitesimal computations in topology, Inst. Hautes Études Sci. Publ. Math. 47 (1977), 269–331 (1978). MR 646078
  • R. Thom, L’homologie des espaces fonctionnels, Colloque de topologie algébrique, Louvain, 1956, Georges Thone, Liège; Masson & Cie, Paris, 1957, pp. 29–39 (French). MR 0089408
  • S. Halperin, Lectures on minimal models, mimeographed notes, Lille.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 273 (1982), 609-620
  • MSC: Primary 55P62; Secondary 55P15, 55R10
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0667163-8
  • MathSciNet review: 667163