Year: 2020
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Pérez-Marco, Ricardo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3020650424