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Extremal subsets in geodesically complete spaces with curvature bounded above

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Publication:6196828

DOI10.1515/AGMS-2023-0104arXiv2207.10369OpenAlexW4391859731MaRDI QIDQ6196828

Author name not available (Why is that?)

Publication date: 15 March 2024

Published in: (Search for Journal in Brave)

Abstract: We define the notion of an extremal subset in a geodesically complete space with curvature bounded above. This is an analogue of an extremal subset in an Alexandrov space with curvature bounded below introduced by Perelman and Petrunin. We show that under an additional assumption the set of topological singularities is an extremal subset. We also develop the structure theory of extremal subsets.


Full work available at URL: https://arxiv.org/abs/2207.10369



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