Abstract
In this section we see how relative Sullivan algebras model fibrations. In particular, if f : X → Y is a continuous map with homotopy fibre F we construct a Sullivan model for F directly from the morphism A PL ,(f): A PL (Y) → A PL (X), provided Y is simply connected with rational homology of finite type.
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© 2001 Springer Science+Business Media New York
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Félix, Y., Halperin, S., Thomas, JC. (2001). Fibrations, homotopy groups and Lie group actions. In: Rational Homotopy Theory. Graduate Texts in Mathematics, vol 205. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0105-9_16
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DOI: https://doi.org/10.1007/978-1-4613-0105-9_16
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6516-0
Online ISBN: 978-1-4613-0105-9
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