• Corpus ID: 15525641

Rational homotopy theory

@inproceedings{Hess2011RationalHT,
  title={Rational homotopy theory},
  author={Kathryn Hess},
  year={2011}
}
1 The Sullivan model 1.1 Rational homotopy theory of spaces We will restrict our attention to simply-connected spaces. Much of this goes through with nilpotent spaces, but this will keep things easier and less technical. Definition 1. A 1-connected space X is said to be rational if either of the following equivalent conditions holds: 1. π∗X forms a graded Q-vector space. 2. H̃∗X forms a graded Q-vector space. (If no mention of coefficients is made, we are using integral coefficients.) Remark 1… 

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References

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