Topological minimal algebras and Sullivan-De Rham equivalence. (English) Zbl 0574.55007

Unsöld, Hans Michael

Homotopie algébrique et algèbre locale, Journ. Luminy/France 1982, Astérisque 113-114, 337-343 (1984).

[For the entire collection see Zbl 0535.00017.]
In this short note, the author states a generalisation of the Sullivan-De Rham equivalence between the category of 1-reduced rational simplicial sets and a convenient category of topological algebras over \({\mathbb{Q}}\), in order to get rid of the \({\mathbb{Q}}\)-finiteness condition.

Reviewer: J.C.Thomas

MSC:

55P62

Rational homotopy theory

Keywords:

minimal model; Hirsch lemma; Sullivan-De Rham equivalence; category of 1- reduced rational simplicial sets; category of topological algebras

Citations:

Zbl 0535.00017