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Open 3-manifolds which are connected sums of closed ones
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BESSIÈRES, Laurent | |
| hal.structure.identifier | Institut Fourier [IF] | |
| dc.contributor.author | BESSON, Gérard | |
| hal.structure.identifier | Institut de Mathématiques et de Modélisation de Montpellier [I3M] | |
| dc.contributor.author | MAILLOT, Sylvain | |
| dc.date.accessioned | 2024-04-04T02:57:30Z | |
| dc.date.available | 2024-04-04T02:57:30Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192570 | |
| dc.description.abstractEn | We consider open, oriented 3-manifolds which are infinite connected sums of closed 3-manifolds. We introduce some topological invariants for these manifolds and obtain a classification in the case where there are only finitely many summands up to diffeomorphism. This result encompasses both the Kneser-Milnor Prime Decomposition Theorem for closed 3-manifolds and the Kerékjártó-Richards classification theorem for open surfaces. | |
| dc.language.iso | en | |
| dc.title.en | Open 3-manifolds which are connected sums of closed ones | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Géométrie différentielle [math.DG] | |
| dc.identifier.arxiv | 2001.11883 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-02462552 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02462552v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BESSI%C3%88RES,%20Laurent&BESSON,%20G%C3%A9rard&MAILLOT,%20Sylvain&rft.genre=preprint |
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