Radó's theorem (Riemann surfaces)
id:
rad-s-theorem-riemann-surfaces-305-5091071
title:
Radó's theorem (Riemann surfaces)
text:
In mathematical complex analysis, Radó's theorem, proved by Tibor Radó (1925), states that every connected Riemann surface is second-countable. The Prüfer surface is an example of a surface with no countable base for the topology, so cannot have the structure of a Riemann surface. The obvious analogue of Radó's theorem in higher dimensions is false: there are 2-dimensional connected complex manifolds that are not second-countable.
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem in complex analysis
original url:
https://en.wikipedia.org/wiki/Rad%C3%B3%27s_theorem_(Riemann_surfaces)
date created:
date modified:
2024-02-21T03:46:07Z
main entity:
{"identifier":"Q3527149","url":"https://www.wikidata.org/entity/Q3527149"}
image:
fields total:
13
integrity:
14