In this section we recall the basic constructions of rational homotopy theory, in particular the construction of the minimal Sullivan model of a space and its main properties. We recall also the elements of the model category structure defined on the connected differential graded algebras and the role of the minimal models in that structure.

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Sullivan Rational Homotopy Theory

  • Yves Félix,
  • Steve Halperin

摘要

In this section we recall the basic constructions of rational homotopy theory, in particular the construction of the minimal Sullivan model of a space and its main properties. We recall also the elements of the model category structure defined on the connected differential graded algebras and the role of the minimal models in that structure.