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arXiv · 2004.10541

The Cantor Riemannium

Ricardo Pérez-Marco
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Abstract

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 $\sigma$-compact. We construct an example of Riemannium space: The Cantor Riemannium.

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Ricardo Pérez-Marco. 2020-04-22. The Cantor Riemannium. https://arxiv.org/abs/2004.10541

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