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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.

Keywords

Perturbation Theory Number Theory Algebraic Geometry Topological Group Commutative Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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