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http://hdl.handle.net/2445/202094
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DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Casacuberta, Carles | - |
dc.contributor.author | Martínez Vergara, Rafael | - |
dc.date.accessioned | 2023-09-21T10:12:23Z | - |
dc.date.available | 2023-09-21T10:12:23Z | - |
dc.date.issued | 2023-06-28 | - |
dc.identifier.uri | http://hdl.handle.net/2445/202094 | - |
dc.description | Treballs finals del Màster en Matemàtica Avançada, Facultat de Matemàtiques, Universitat de Barcelona: Curs: 2022-2023. Director: Carles Casacuberta | ca |
dc.description.abstract | This work provides an introduction to the Gromov-Hausdorff distance, discussing its original definition and its relationship with correspondences between spaces. We prove that the Gromov-Hausdorff distance serves as a metric for the set of isometry classes of compact metric spaces. The primary objectives of this study are to establish the existence of a pseudo-metric on the disjoint union $X \sqcup Y$ that achieves the Gromov-Hausdorff distance between compact spaces $X$ and $Y$, and to establish bounds for the Gromov-Hausdorff distance between spheres of different dimensions. | ca |
dc.format.extent | 55 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.rights | cc by-nc-nd (c) Rafael Martínez Vergara, 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Màster Oficial - Matemàtica Avançada | - |
dc.subject.classification | Espais topològics | cat |
dc.subject.classification | Geometria diferencial | cat |
dc.subject.classification | Treballs de fi de màster | cat |
dc.subject.other | Topological spaces | eng |
dc.subject.other | Differential geometry | eng |
dc.subject.other | Master's thesis | eng |
dc.title | On the Gromov-Hausdorff distance between compact spaces | ca |
dc.type | info:eu-repo/semantics/masterThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Màster Oficial - Matemàtica Avançada |
Files in This Item:
File | Description | Size | Format | |
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tfm_rafael_martinez_vergara.pdf | Memòria | 552.99 kB | Adobe PDF | View/Open |
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