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Sullivan models

  • Yves Félix
  • Stephen Halperin
  • Jean-Claude Thomas
Part of the Graduate Texts in Mathematics book series (GTM, volume 205)

Abstract

Having constructed the functor A PL : topological spaces commutative cochain algebras in §10, and the functor A DR : smooth manifolds commutative cochain algebras in §11, we focus now on the study of commutative cochain algebras themselves. Here the principal role is played by the Sullivan cochain algebras (or Sullivan algebras for short) which we introduce now:

Keywords

Minimal Model Homotopy Class Finite Type Rational Homology Cohomology Algebra 
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 Science+Business Media New York 2001

Authors and Affiliations

  • Yves Félix
    • 1
  • Stephen Halperin
    • 2
  • Jean-Claude Thomas
    • 3
  1. 1.Institut MathematiquesUniversite de Louvain La NeuveLouvain-la-NeuveBelgium
  2. 2.College of Computer, Mathematical, and Physical ScienceUniversity of MarylandCollege ParkUSA
  3. 3.Faculte des SciencesUniversite d’AngersAngersFrance

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