Open Access
October 2022 Proper holomorphic embeddings of complements of large Cantor sets in $\mathbb{C}^2$
G.D. Di Salvo, E.F. Wold
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Ark. Mat. 60(2): 323-333 (October 2022). DOI: 10.4310/ARKIV.2022.v60.n2.a5

Abstract

We prove that there exist Cantor sets of arbitrarily large $2$-dimensional Lebesgue measure whose complements admit proper holomorphic embeddings in $\mathbb{C}^2$.

Citation

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G.D. Di Salvo. E.F. Wold. "Proper holomorphic embeddings of complements of large Cantor sets in $\mathbb{C}^2$." Ark. Mat. 60 (2) 323 - 333, October 2022. https://doi.org/10.4310/ARKIV.2022.v60.n2.a5

Information

Received: 14 December 2021; Accepted: 5 April 2022; Published: October 2022
First available in Project Euclid: 17 July 2024

Digital Object Identifier: 10.4310/ARKIV.2022.v60.n2.a5

Subjects:
Primary: 32E20

Rights: Copyright © 2022 Institut Mittag-Leffler

Vol.60 • No. 2 • October 2022
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