## Kodai Mathematical Journal

### A topological characterization of the strong disk property on open Riemann surfaces

#### Abstract

In this paper, we give a topological characterization of a subdomain $G$ of an open Riemann surface $R$ which has the strong disk property. Namely, we show that the domain $G$ satisfies the strong disk property in $R$ if and only if the canonical homomorphism $\pi_1(G) \to \pi_1(R)$ is injective.

#### Article information

Source
Kodai Math. J., Volume 42, Number 3 (2019), 587-592.

Dates
First available in Project Euclid: 31 October 2019