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arxiv: 2606.19189 · v1 · pith:3R5445Y3new · submitted 2026-06-17 · 🧮 math.DG

Topology of two-dimensional collapsed spaces with lower Ricci bounds

classification 🧮 math.DG
keywords collapsedriccispacesbelowboundaryboundedboundscurvature
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We prove that collapsed metric measure spaces with Ricci curvature bounded below and essential dimension two are topological surfaces, possibly with boundary.

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