Geodesic
Coformality around fibrations and cofibrations
Homology, homotopy, and applications, Tome 25 (2023) no. 1, pp. 235-248.

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

We show that in a fibration the coformality of the base space implies the coformality of the total space under reasonable conditions, and these conditions can not be weakened. The result is partially dual to the classical work of Lupton on the formality within a fibration. Our result has two applications. Firstly, we show that for certain homotopy cofibrations, the coformality of the cofiber implies the coformality of the middle space. Secondly, we show that the total spaces of certain spherical fibrations are Koszul.
DOI : 10.4310/HHA.2023.v25.n1.a12
Classification : 55P62
Keywords: coformal space, Sullivan model, fibration, cofibration, Koszul space, rational LS category 
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Ruizhi Huang. Coformality around fibrations and cofibrations. Homology, homotopy, and applications, Tome 25 (2023) no. 1, pp. 235-248. doi : 10.4310/HHA.2023.v25.n1.a12. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2023.v25.n1.a12/

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