manuscripta mathematica

, Volume 58, Issue 3, pp 363–376 | Cite as

Applications of perturbation theory to iterated fibrations

  • Larry Lambe
  • Jim Stasheff
Article

Abstract

For a class of spaces including simply connected spaces and classifying spaces of nilpotent groups, relatively small differential graded algebras are constructed over commutative rings with 1 which are chain homotopy equivalent to the singular cochain algebra. An application to finitely generated torsion-free nilpotent groups over the integers is given.

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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Larry Lambe
    • 1
    • 2
  • Jim Stasheff
    • 1
    • 2
  1. 1.Department of MathematicsNotre Dame UniversityNotre Dame
  2. 2.Department of MathematicsUniversity of North CarolinaChapel Hill

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