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Perhaps the constant functions should form a topological subspace of $\ C(M\ N)$$\ C(M , N)$ which is canonically isomorphic with $\ N$. This would eliminate the non-metrizable spaces $\ N$.
Perhaps the constant functions should form a topological subspace of $\ C(M\ N)$ which is canonically isomorphic with $\ N$. This would eliminate the non-metrizable spaces $\ N$.
Perhaps the constant functions should form a topological subspace of $\ C(M , N)$ which is canonically isomorphic with $\ N$. This would eliminate the non-metrizable spaces $\ N$.
Perhaps the constant functions should form a topological subspace of $\ C(M\ N)$ which is canonically isomorphic with $\ N$. This would eliminate the non-metrizable spaces $\ N$.
