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arxiv: 1308.6685 · v1 · pith:OJL5OHLNnew · submitted 2013-08-30 · 🧮 math.AT

Rational homotopy -- Sullivan models

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keywords sullivanfreeloopmodelsspacebettichaptere-poirrier-sullivan
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This chapter is a short introduction to Sullivan models. In particular, we find the Sullivan model of a free loop space and use it to prove the Vigu\'e-Poirrier-Sullivan theorem on the Betti numbers of a free loop space.

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