Kodai Mathematical Journal

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

Makoto Abe, Gou Nakamura, and Hiroshige Shiga

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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

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1572487233

Digital Object Identifier
doi:10.2996/kmj/1572487233

Mathematical Reviews number (MathSciNet)
MR4025759

Citation

Abe, Makoto; Nakamura, Gou; Shiga, Hiroshige. A topological characterization of the strong disk property on open Riemann surfaces. Kodai Math. J. 42 (2019), no. 3, 587--592. doi:10.2996/kmj/1572487233. https://projecteuclid.org/euclid.kmj/1572487233


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