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 |
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Mathematical Sciences Publishers
2021
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| _version_ | 1797109820086550528 |
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| author | Kapovitch, V Mondino, A |
| author_facet | Kapovitch, V Mondino, A |
| author_sort | Kapovitch, V |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T07:46:38Z |
| format | Journal article |
| id | oxford-uuid:3aa8c4d5-a1cb-4204-84d6-d689eed20492 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T07:46:38Z |
| publishDate | 2021 |
| publisher | Mathematical Sciences Publishers |
| record_format | dspace |
| spelling | oxford-uuid:3aa8c4d5-a1cb-4204-84d6-d689eed204922023-06-20T11:11:01ZOn the topology and the boundary of N-dimensional RCD(K,N) spacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3aa8c4d5-a1cb-4204-84d6-d689eed20492EnglishSymplectic Elements at OxfordMathematical Sciences Publishers2021Kapovitch, VMondino, AWe 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. |
| spellingShingle | Kapovitch, V Mondino, A On the topology and the boundary of N-dimensional RCD(K,N) spaces |
| title | On the topology and the boundary of N-dimensional RCD(K,N) spaces |
| title_full | On the topology and the boundary of N-dimensional RCD(K,N) spaces |
| title_fullStr | On the topology and the boundary of N-dimensional RCD(K,N) spaces |
| title_full_unstemmed | On the topology and the boundary of N-dimensional RCD(K,N) spaces |
| title_short | On the topology and the boundary of N-dimensional RCD(K,N) spaces |
| title_sort | on the topology and the boundary of n dimensional rcd k n spaces |
| work_keys_str_mv | AT kapovitchv onthetopologyandtheboundaryofndimensionalrcdknspaces AT mondinoa onthetopologyandtheboundaryofndimensionalrcdknspaces |