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Holder Hölder functions dense in space of bounded continuous functions (for non-compact manifolds)
Let $M$ be a non-compact manifold and denote by $C_b(M)$ the space of bounded continuous functions on $M$. Is it true that the space of HolderHölder functions is dense in $C_b(M)$ (in the $C^0$ norm: $||f||=\sup_{x\in M}|f(x)|$)?
Holder functions dense in space of bounded continuous functions (for non-compact manifolds)
Let $M$ be a non-compact manifold and denote by $C_b(M)$ the space of bounded continuous functions on $M$. Is it true that the space of Holder functions is dense in $C_b(M)$ (in the $C^0$ norm: $||f||=\sup_{x\in M}|f(x)|$)?
Hölder functions dense in space of bounded continuous functions (for non-compact manifolds)
Let $M$ be a non-compact manifold and denote by $C_b(M)$ the space of bounded continuous functions on $M$. Is it true that the space of Hölder functions is dense in $C_b(M)$ (in the $C^0$ norm: $||f||=\sup_{x\in M}|f(x)|$)?
Holder functions dense in space of bounded continuous functions (for non-compact manifolds)
Let $M$ be a non-compact manifold and denote by $C_b(M)$ the space of bounded continuous functions on $M$. Is it true that the space of Holder functions is dense in $C_b(M)$ (in the $C^0$ norm: $||f||=\sup_{x\in M}|f(x)|$)?
