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Titlebook: Rational Homotopy Theory; Yves Félix,Stephen Halperin,Jean-Claude Thomas Textbook 2001 Springer Science+Business Media New York 2001 Algeb

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Smooth Differential Formsth manifold .. In this section we review the construction of ..(.) and establish a chain of quasi-isomorphisms . of commutative cochain algebras. This implies (§12) that ..(.) and ..(.; ℝ) have the same minimal Sullivan algebras and hence that many rational homotopy invariants (e.g. dim π.(.) ⊗ ℚ, .
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Relative Sullivan algebrasic morphism k → (., .), 1→ 1. In this section we introduce relative Sullivan algebras (. ⊗ Λ.,.) and use them to model general morphisms (...) → (.,.) of commutative cochain algebras. We shall then prove existence and uniqueness theorems in this setting. This will, in particular, eliminate the hypot
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