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ZD Soft Screen Recorder Crack + Serial Keygen With Full Download [Latest]Q:
About the connected sum of two objects from $\text{Hom}(X,Y)$
In this question I am pretty sure that the answer is yes, but I was wondering if there were any special properties of the connected sum that mean that it is particularly easy to understand what the set of homomorphisms between two surfaces are.
Let $S$ be a closed surface of genus $g$ and let $X,Y$ be closed surfaces of genera $g_1,g_2$.
Let $Z \in \text{Hom}(S,X)$ and $W \in \text{Hom}(S,Y)$ be homomorphisms into $X$ and $Y$. Then $\Sigma Z=Z \sqcup S^1 \in \text{Hom}(S,X \sqcup Y)$ and $\Sigma W=W \sqcup S^1 \in \text{Hom}(S,Y \sqcup X)$.
(I am ignoring the edge case of $Z$ and $W$ being the identity and $g=0$.)
I think that the set of homomorphisms from $S$ into $X \sqcup Y$ is given by $\text{Hom}(S,X \sqcup Y) \cong \text{Hom}(S,X) \times \text{Hom}(S,Y)$.
Now define $\Sigma^\prime: \text{Hom}(S,X) \times \text{Hom}(S,Y) \to \text{Hom}(S,X \
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