On the topology and the boundary of N-dimensional RCD(K,N) spaces
We establish topological regularity and stability of N-dimensional RCD(K,N) spaces (up to a small singular set), also called non-collapsed RCD(K,N) in the literature. We also introduce the notion of a boundary of such spaces and study its properties, including its behavior under Gromov-Hausdorff con...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Mathematical Sciences Publishers
2021
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| Summary: | We establish topological regularity and stability of N-dimensional RCD(K,N) spaces (up to a small singular set), also called non-collapsed RCD(K,N) in the literature. We also introduce the notion of a boundary of such spaces and study its properties, including its behavior under Gromov-Hausdorff convergence. |
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