Elliptic spaces

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


In this section the ground ring is an arbitrary field k of characteristic zero. A simply connected topological space X is called rationally elliptic if it satisfies the two conditions: dim H * (X; ℚ) < ∞ and dim π* (X) ⊗ ℚ < ∞ .


Spectral Sequence Formal Dimension Regular Sequence Polynomial Algebra Homotopy Fibre 
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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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