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Let $X$ be a Riemann surface of infinite genus and let $n$ be an arbitrarily large natural number.
Do there always exist a closed Riemann surface $Y$ of genus greater than $n$ and a nonconstant holomorphic map $f:X\to Y$?
Let $X$ be a Riemann surface of infinite genus and let $n$ be an arbitrarily large natural number.
Do there exist a closed Riemann surface $Y$ of genus greater than $n$ and a nonconstant holomorphic map $f:X\to Y$?
Let $X$ be a Riemann surface of infinite genus and let $n$ be an arbitrarily large natural number.
Do there always exist a closed Riemann surface $Y$ of genus greater than $n$ and a nonconstant holomorphic map $f:X\to Y$?
Let $X$ be a Riemann surface of infinite genus and let $n$ be an arbitrarily large natural number.
DoesDo there exist a closed Riemann surface $Y$ of genus greater than $n$ and a nonconstant holomorphic map $f:X\to Y$?
Let $X$ be a Riemann surface of infinite genus and let $n$ be an arbitrarily large natural number.
Does there exist a closed Riemann surface $Y$ of genus greater than $n$ and a nonconstant holomorphic map $f:X\to Y$?
Let $X$ be a Riemann surface of infinite genus and let $n$ be an arbitrarily large natural number.
Do there exist a closed Riemann surface $Y$ of genus greater than $n$ and a nonconstant holomorphic map $f:X\to Y$?
