The Cantor Riemannium
Complex Variables
2025-12-18 v3 Differential Geometry
General Topology
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 -compact. We construct an example of Riemannium space: The Cantor Riemannium.
Cite
@article{arxiv.2004.10541,
title = {The Cantor Riemannium},
author = {Ricardo Pérez-Marco},
journal= {arXiv preprint arXiv:2004.10541},
year = {2025}
}
Comments
24 pages, 6 figures. Enlarged historical introduction an minor corrections