## Analysis & PDE

• Anal. PDE
• Volume 10, Number 8 (2017), 1987-1999.

### Complete embedded complex curves in the ball of $\mathbb{C}^2$ can have any topology

#### Abstract

In this paper we prove that the unit ball $B$ of $ℂ2$ admits complete properly embedded complex curves of any given topological type. Moreover, we provide examples containing any given closed discrete subset of $B$.

#### Article information

Source
Anal. PDE, Volume 10, Number 8 (2017), 1987-1999.

Dates
Accepted: 29 June 2017
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.apde/1510843588

Digital Object Identifier
doi:10.2140/apde.2017.10.1987

Mathematical Reviews number (MathSciNet)
MR3694012

Zentralblatt MATH identifier
1384.32014

#### Citation

Alarcón, Antonio; Globevnik, Josip. Complete embedded complex curves in the ball of $\mathbb{C}^2$ can have any topology. Anal. PDE 10 (2017), no. 8, 1987--1999. doi:10.2140/apde.2017.10.1987. https://projecteuclid.org/euclid.apde/1510843588

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