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The Cantor Riemannium

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 σ-compact. We construct an example of Riemannium space: The Cantor Riemannium.
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https://hal.archives-ouvertes.fr/hal-02552146
Contributor : Ricardo Pérez-Marco Connect in order to contact the contributor
Submitted on : Sunday, April 26, 2020 - 4:44:02 AM
Last modification on : Thursday, April 7, 2022 - 1:58:23 PM

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  • HAL Id : hal-02552146, version 2

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Ricardo Pérez-Marco. The Cantor Riemannium. 2020. ⟨hal-02552146v2⟩

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