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    Étale cohomology, purity and formality with torsion coefficients 

    Cirici, J.; Horel, G. (2022-10-27)

    We use Galois group actions on étale cohomology to prove results of formality for dg-operads and dg-algebras with torsion coefficients. Our theory applies, among other related objects, to the dg-operad of singular chains ...

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    Free decomposition spaces 

    Hackney, P.; Kock, J. (2024-09-02)

    We introduce the notion of free decomposition spaces: they are simplicial spaces freely generated by inert maps. We show that left Kan extension along the inclusion takes general objects to M & ouml;bius decomposition ...

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    Topological Entropy, Sets of Periods, and Transitivity for Circle Maps 

    Alsedà, L.; Bordignon, L.; Groisman, J. (2024-07-30)

    Transitivity, the existence of periodic points, and positive topological entropy can be used to characterize complexity in dynamical systems. It is known that, for every graph that is not a tree and any epsilon > 0, there ...