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Classification of fiber sequences with a prescribed holonomy action
Fuentes Rumí, Mario (Elsevier, 2022-08-01)We define H-fibration sequences as fibrations where the holonomy action of the fundamental group of the base on the fiber lies in a given subgroup H of E(F ), where E(F ) is the homotopy automorphism group of the fiber. ... -
Lie models of classifying fibrations.
Fuentes Rumí, Mario (UMA Editorial, 2023)En el ámbito de la Teoría de Homotopía Racional, los recientemente desarrollados modelos de Lie, permiten la modelización de espacios topológicos no simplemente conexos. En esta tesis se utiliza esta nueva técnica para ... -
Lie models of homotopy automorphism monoids and classifying fibrations
Félix, Yves; Fuentes Rumí, Mario; Murillo-Mas, Aniceto (Elsevier, 2022-06-25)Given X a finite nilpotent simplicial set, consider the classifying fibrations X → B aut∗ G(X) → B autG(X) and X → Z → B aut∗ π (X) where G and π denote, respectively, subgroups of the free and pointed homotopy classes ...