Geodesic
Decomposing manifolds into Cartesian products
Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 1-10.

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

The decomposability of a Cartesian product of two nondecomposable manifolds into products of lower dimensional manifolds is studied. For 3-manifolds we obtain an analog of a result due to Borsuk for surfaces, and in higher dimensions we show that similar analogs do not exist unless one imposes further restrictions such as simple connectivity.
DOI : 10.4310/HHA.2018.v20.n2.a1
Classification : 57M50, 57R80
Keywords: Seifert manifold, Whitehead torsion, $s$-cobordism, surgery group 
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Slawomir Kwasik; Reinhard Schultz. Decomposing manifolds into Cartesian products. Homology, homotopy, and applications, Tome 20 (2018) no. 2, pp. 1-10. doi : 10.4310/HHA.2018.v20.n2.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2018.v20.n2.a1/

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