Let $C^0(\Omega)$ and $C^1(\Omega)$ be the vector spaces of continuous and continuously differentiable functions on a closed subset $\Omega$ of $\mathbb{R}$ . What is known about the (linear-algebraic) quotient space $C^0(\Omega)/C^1(\Omega)$? Is it isomorphic to any well-known vector spaces?
2026-03-28 10:29:46.1774693786
Quotient of Vector Space of Continuous Functions
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