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.
Citation
Makoto Abe. Gou Nakamura. Hiroshige Shiga. "A topological characterization of the strong disk property on open Riemann surfaces." Kodai Math. J. 42 (3) 587 - 592, October 2019. https://doi.org/10.2996/kmj/1572487233