Sullivan completions

Abstract

The Sullivan construction associates to each path connected space or connected simplicial set, $X$, a special cdga, its minimal model $(\wedge V,d)$, and to each such cdga $\wedge W$ its geometric realisation $⟨\wedge W⟩$. The composite of these constructions is the Sullivan completion, $X_{\mathbb{Q}}$, of $X$. In this paper we give a survey of the main properties of Sullivan completions, and include explicit examples.

Cited by in corpus (1)

• Aspherical completions and rationally inert elements