38 research outputs found

    Multidimensional C0C^0 transversality

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    In 1994, Sakai introduced the property of C0C^0 transversality for two smooth curves in a two-dimensional manifold. This property was related to various shadowing properties of dynamical systems. In this short note, we generalize this property to arbitrary continuous mappings of topological spaces into topological manifolds. We prove a sufficient condition for the C0C^0 transversality of two submanifolds of a topological manifold and a necessary condition of C0C^0 transversality for mappings of metric spaces into Rn\mathbb{R}^n.Comment: 9 page

    Search for dark matter in association with a Higgs boson decaying to bb-quarks in pppp collisions at s=13\sqrt s=13 TeV with the ATLAS detector

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    Charged-particle distributions at low transverse momentum in s=13\sqrt{s} = 13 TeV pppp interactions measured with the ATLAS detector at the LHC