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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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Dates and versions

hal-02552146 , version 1 (23-04-2020)
hal-02552146 , version 2 (26-04-2020)

Identifiers

  • HAL Id : hal-02552146 , version 2

Cite

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