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...
Main Author: | |
---|---|
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 |