Geodesic
Fibrations over aspherical manifolds
Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 257-261.

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

Let $f\colon E \to B$ be a map between closed connected orientable manifolds. In this note, we give a necessary condition for $f$ to be a manifold fibration. In particular, we show that if $F \hookrightarrow E \stackrel{f}{\to} B$ is a fibration where $F=f^{-1}(b)$, $E$ and $B$ are closed connected triangulated orientable manifolds and $B$ is aspherical, then $f|_{E^{(n)}}\colon E^{(n)} \to B$ is surjective, where $E^{(n)}$ denotes the $n$-th skeleton of $E$ and $n=\dim B$.
DOI : 10.4310/HHA.2006.v8.n1.a9
Classification : 55M20, 55R20, 55T10, 55S35
Keywords: obstruction theory, fibrations, local coefficients, Shapiro’s Lemma 
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     title = {Fibrations over aspherical manifolds},
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     pages = {257--261},
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     doi = {10.4310/HHA.2006.v8.n1.a9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n1.a9/}
}
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Daciberg Gonçalves; Peter Wong. Fibrations over aspherical manifolds. Homology, homotopy, and applications, Tome 8 (2006) no. 1, pp. 257-261. doi : 10.4310/HHA.2006.v8.n1.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n1.a9/

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