Carathéodory convergence and the conformal type problem

Författare

  • Alexandre Eremenko Purdue University, Mathematics Department
  • Sergei Merenkov The City College of New York and CUNY Graduate Center, Department of Mathematics

DOI:

https://doi.org/10.54330/afm.176092

Nyckelord:

Riemann surface, type problem, Speiser class

Abstract

We study Carathédory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the conformal type can change when two singular values collide.

Nedladdningar

Publicerad

2025-10-06

Nummer

Vol 50 Nr 2 (2025)

Sektion

Articles

Licens

Copyright (c) 2025 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

Eremenko, A., & Merenkov, S. (2025). Carathéodory convergence and the conformal type problem. Annales Fennici Mathematici, 50(2), 563–575. https://doi.org/10.54330/afm.176092