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On fundamental groups of RCD spaces (Q6161168)

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scientific article; zbMATH DE number 7691724

Language	Label	Description	Also known as
English	On fundamental groups of RCD spaces	scientific article; zbMATH DE number 7691724

Statements

scholarly article

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On fundamental groups of RCD spaces (English)

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Jaime Santos-Rodríguez

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Sergio Zamora Barrera

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Journal für die Reine und Angewandte Mathematik

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publication date

5 June 2023

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full work available at URL

https://arxiv.org/abs/2210.07275

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zbMATH Keywords

RCD(K,N)-spaces

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fundamental group

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Gromov-Hausdorff convergence

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MaRDI profile type

MaRDI publication profile

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Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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Localization and tensorization properties of the curvature-dimension condition for metric measure spaces

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The structure of approximate groups.

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Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows

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Bieberbach groups and flat manifolds

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On the structure of spaces with Ricci curvature bounded below. I

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The splitting theorem for manifolds of nonnegative Ricci curvature

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On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

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The fundamental groups of almost nonnegatively curved manifolds

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On quotients of spaces with Ricci curvature bounded below

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Limits of finite homogeneous metric spaces

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An overview of the proof of the splitting theorem in spaces with non-negative Ricci curvature

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Almost flat manifolds

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Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu

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On the isometry group of \(RCD^*(K,N)\)-spaces

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Stable group theory and approximate subgroups

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Nilpotency, almost nonnegative curvature, and the gradient flow on Alexandrov spaces

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On \(\varepsilon\)-representations

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A sufficient condition to a regular set being of positive measure on spaces

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Margulis lemma for compact Lie groups

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Curvatures of left invariant metrics on Lie groups

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An upper bound on the revised first Betti number and a torus stability result for \textsf{RCD} spaces

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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On the universal cover and the fundamental group of an \(\mathsf{RCD}^\ast(K,N)\)-space

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Some topological results of Ricci limit spaces

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Semi-local simple connectedness of non-collapsing Ricci limit spaces

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Hausdorff convergence and universal covers

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The covering spectrum of a compact length space

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The isometry group of an \(\mathsf{RCD}^*\) space is Lie

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Identifiers

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10.1515/crelle-2023-0027

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6161168

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