Geodesic
An algebraic model for homotopy fibers
Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 117-139.

Voir la notice de l'article provenant de la source International Press of Boston

Let $F$ be the homotopy fiber of a continuous map $f:X@>>>Y$, and let $R$ be a commutative, unitary ring. Given a morphism of chain Hopf algebras that models $(\Omega f)_{\sharp}:C_{*}(\Omega X;R)@>>>C_{*}(\Omega Y;R)$, we construct a cochain algebra that models $C^*(F;R)$. We explain how to simplify the model for certain large classes of maps $f$ and provide examples of the application of our model.
DOI : 10.4310/HHA.2002.v4.n2.a6
Classification : 55Pxx, 55T20, 55U15
Keywords: homotopy fiber, algebraic model, Adams-Hilton model 
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     title = {An algebraic model for homotopy fibers},
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     pages = {117--139},
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Nicolas Dupont; Kathryn Hess. An algebraic model for homotopy fibers. Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 117-139. doi : 10.4310/HHA.2002.v4.n2.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n2.a6/

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