Proof establishes countability of modular group for infinite-type surfaces with Riemann structure, indicating significant mathematical insights.
In this paper, we prove that every connected, orientable infinite-type surface [Formula: see text] without boundary and finite genus has a Riemann surface structure such that its modular group of quasiconformal homeomorphisms is countable.
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Rogelio Niño-Hernández (2026) studied this question.
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