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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2004.10541 |
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| _version_ | 1866908715553128448 |
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| author | Pérez-Marco, Ricardo |
| author_facet | Pérez-Marco, Ricardo |
| contents | The Riemann surface of a holomorphic germ is the space generated by its Weierstrass analytic continuation. The Riemannium space of a holomorphic germ is the space generated by its Borel monogenic continuation. Riemannium spaces are metric, path connected, Gromov length spaces, not necessarily $σ$-compact. We construct an example of Riemannium space: The Cantor Riemannium. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_10541 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Cantor Riemannium Pérez-Marco, Ricardo Complex Variables Differential Geometry General Topology 30F10, 30D99, 30E25 The Riemann surface of a holomorphic germ is the space generated by its Weierstrass analytic continuation. The Riemannium space of a holomorphic germ is the space generated by its Borel monogenic continuation. Riemannium spaces are metric, path connected, Gromov length spaces, not necessarily $σ$-compact. We construct an example of Riemannium space: The Cantor Riemannium. |
| title | The Cantor Riemannium |
| topic | Complex Variables Differential Geometry General Topology 30F10, 30D99, 30E25 |
| url | https://arxiv.org/abs/2004.10541 |