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On the Regularity of Alexandrov Surfaces with Curvature Bounded Below

Luigi Ambrosio ; Jérôme Bertrand

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The Polish Digital Mathematics Library
Characterization of Low Dimensional RCD*(K, N) Spaces

Yu Kitabeppu ; Sajjad Lakzian

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The Polish Digital Mathematics Library
Flats in Spaces with Convex Geodesic Bicombings

Dominic Descombes ; Urs Lang

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Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation

Jeff Cheeger ; Bruce Kleiner ; Andrea Schioppa

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The Geometry of Model Spaces for Probability-Preserving Actions of Sofic Groups

Tim Austin

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Quasi-Isometries Need Not Induce Homeomorphisms of Contracting Boundaries with the Gromov Product Topology

Christopher H. Cashen

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Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Francescopaolo Montefalcone

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Isoperimetric Regions in Rnwith Density rp

Wyatt Boyer ; Bryan Brown ; Gregory R. Chambers ; Alyssa Loving ; Sarah Tammen

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Relaxation and Integral Representation for Functionals of Linear Growth on Metric Measure spaces

Heikki Hakkarainen ; Juha Kinnunen ; Panu Lahti ; Pekka Lehtelä

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Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres

Vyron Vellis

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On the Hausdorff Dimension of CAT(κ) Surfaces

David Constantine ; Jean-François Lafont

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Tangent Lines and Lipschitz Differentiability Spaces

Fabio Cavalletti ; Tapio Rajala

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Combinatorial Modulus on Boundary of Right-Angled Hyperbolic Buildings

Antoine Clais

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Hardy and Hardy-Sobolev Spaces on Strongly Lipschitz Domains and Some Applications

Xiaming Chen ; Renjin Jiang ; Dachun Yang

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The Polish Digital Mathematics Library
Constant Distortion Embeddings of Symmetric Diversities

David Bryant ; Paul F. Tupper

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The Poincaré Inequality Does Not Improve with Blow-Up

Andrea Schioppa

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Weak Capacity and Modulus Comparability in Ahlfors Regular Metric Spaces

Jeff Lindquist

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Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture

Frank Morgan

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Applications of the ‘Ham Sandwich Theorem’ to Eigenvalues of the Laplacian

Kei Funano

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Applications of Integral Geometry to Geometric Properties of Sets in the 3D-Heisenberg Group

Yen-Chang Huang

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The Polish Digital Mathematics Library