Differential Graded Algebras
This chapter introduces (commutative) differential graded algebras (DGAs). The notion of a minimal DGA is introduced. These are constructed using Hirsch extensions. Hirsch extensions, up to isomorphism, are classified by a cohomology group. Lastly, the minimal model of a general simply connected DGA is defined and proved to exist by an inductive construction whose inductive step is a Hirsch extension.
KeywordsMinimal Model Simplicial Complex Category Theory Homotopy Type Homotopy Theory
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