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Elliptic spaces

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

Abstract

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 < ∞ .

Keywords

Spectral Sequence Formal Dimension Regular Sequence Polynomial Algebra Homotopy Fibre 
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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