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math.AT2023
Weight decompositions on algebraic models for mapping spaces and homotopy automorphisms
Joana Cirici, Bashar Saleh
We obtain restrictions on the rational homotopy types of mapping spaces and of classifying spaces of homotopy automorphisms by means of the theory of positive weight decompositions…
math.AT2023
Algebraic groups of homotopy classes of automorphisms and operadic Koszul duality
Bashar Saleh
Given a simply connected space , there are several, a priori different, algebraic groups whose groups of -points are isomorphic to the group of homotopy classes of ho…