Abstract
We show that closed subsets with vanishing first homology in two-dimensional spaces inherit the upper curvature bound from their ambient spaces and discuss topological applications.
Citation
Alexander Lytchak. Stephan Stadler. "Curvature bounds of subsets in dimension two." J. Differential Geom. 127 (3) 1245 - 1265, July 2024. https://doi.org/10.4310/jdg/1721071501
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