Extremal subsets in geodesically complete spaces with curvature bounded above

We introduce the notion of an extremal subset in a geodesically complete space with curvature bounded above, i.e., a GCBA space. This is an analog of an extremal subset in an Alexandrov space with curvature bounded below introduced by Perelman and Petrunin. We prove that under an additional assumpti...

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Bibliographic Details
Main Author: Fujioka Tadashi
Format: Article
Language:English
Published: De Gruyter 2023-12-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2023-0104