2 problems

Let $S$ be an infinite-type surface properly homotopy equivalent to a graph $\G$, and let $\widetilde{\Theta}:\operatorname{ExMap}(S)\to\operatorname{Map}(\G)$ be the continuous in…

Let $S$ be an infinite-type surface with compact boundary, properly homotopy equivalent to a locally finite infinite graph $\G$, and let $\Theta$ be the induced homomorphism from…