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On PL deRham theory and rational homotopy type

Contents

This page has material related to the article

on rational homotopy theory via a model structure on dg-algebras (hence on objects dual to the dg-Lie algebras originally considered in Quillen 69).


Related references:

Review:

Generalization to equivariant rational homotopy theory (fundamental theorem of equivariant rational homotopy theory?):


Contents

The simplicial Algebra \nabla

The polynomial de Rham Theory

Multiplicative structure and the Eilenberg-Moore theorem

A Quillen Homotopy Theory for DG Algebras

Function Spaces for DG Algebras

The Homotopy Relation for DG Algebras

Minimal DG Algebras

The de Rham functors and their Adjoints

The Sullivan-de Rham Equivalence Therem

Proof of the Sullivan-de Rham Equivalence Therem

The Sullivan-de Rham Localization and Homotopy Theorems



category: reference

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