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arXiv · 1904.08712

Sullivan completions

Yves Felix·Steve Halperin
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Abstract

The Sullivan construction associates to each path connected space or connected simplicial set, $X$, a special cdga, its minimal model $(\land V,d)$, and to each such cdga $\land W$ its geometric realisation $\langle \land W\rangle$. 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.

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Yves Felix, Steve Halperin. 2019-04-18. Sullivan completions. https://arxiv.org/abs/1904.08712

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