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August 1997, Volume 93, Issue 1, pp 59–66 | Cite as

A based federer spectral sequence and the rational homotopy of function spaces

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• Samuel B. Smith

Article

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• 3 Citations

Keywords

Spectral Sequence Homotopy Class Homotopy Group Grade Vector Space Finite Complex 

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References

1. [1]
   H. Federer,A study of function spaces by spectral sequences, Trans. Amer. Math. Soc.82 (1956), 340–361.zbMATHCrossRefGoogle Scholar
2. [2]
   Y. Felix, J.-C. Thomas,Sur la structure des espaces de L.S. catégorie deux, Illinois J. Math.30 (1986), 574–593.zbMATHGoogle Scholar
3. [3]
   J. Neisendorfer,Lie algebras, coalgebras and rational homotopy theory for nilpotent spaces, Pacific J. of Math. (2)74 (1978), 429–460.zbMATHGoogle Scholar
4. [4]
   D. Quillen,Rational homotopy theory, Ann. Math. (2)90 (1969), 205–295.CrossRefGoogle Scholar
5. [5]
   S. Smith,Rational homotopy of the space of self- maps of complexes with finitely many homotopy groups, Trans. Amer. Math. Soc.342 (1994), 895–915.zbMATHCrossRefGoogle Scholar
6. [6]
   ___,Rational evaluation subgroups, Math. Z.221 (1996), 387–400.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

• Samuel B. Smith
  • 1

1. 1.Department of MathematicsSaint Joseph’s UniversityPhiladelphia