Sullivan model of a suspension

and

**rational homotopy theory** (equivariant, stable, parametrized, equivariant & stable, parametrized & stable)

**Examples of Sullivan models** in rational homotopy theory:

A Sullivan model for the (reduced) suspension of a (pointed) topological space $X$ is obtained from a Sullivan model for $X$ itself essentially by shifting up all generators in degree by one and forcing all their wedge products to vanish.

See e.g. Félix-Murillo-Tanré 10, Prop. 5.1

**Examples of Sullivan models** in rational homotopy theory:

- Yves Félix, Aniceto Murillo Daniel Tanré,
*Fibrewise stable rational homotopy*, Journal of Topology, Volume 3, Issue 4, 2010, Pages 743–758 (doi:10.1112/jtopol/jtq023)

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