Deformations of Lipschitz Homeomorphisms
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910597391581184 |
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| author | Alattar, Mohammad |
| author_facet | Alattar, Mohammad |
| contents | We obtain the Lipschitz analogues of the results Perelman used from Siebenmann's deformation of homeomorphism theory in his proof of the stability theorem. Consequently, we obtain the Lipschitz analogue of Perelman's gluing theorem. Moreover, we obtain the analogous deformation theory but with tracking of the Lipschitz constants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06170 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Deformations of Lipschitz Homeomorphisms Alattar, Mohammad Geometric Topology Differential Geometry Metric Geometry 53C23, 53C20, 51K10, 57S05, 58D05 We obtain the Lipschitz analogues of the results Perelman used from Siebenmann's deformation of homeomorphism theory in his proof of the stability theorem. Consequently, we obtain the Lipschitz analogue of Perelman's gluing theorem. Moreover, we obtain the analogous deformation theory but with tracking of the Lipschitz constants. |
| title | Deformations of Lipschitz Homeomorphisms |
| topic | Geometric Topology Differential Geometry Metric Geometry 53C23, 53C20, 51K10, 57S05, 58D05 |
| url | https://arxiv.org/abs/2409.06170 |