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Q51Section II (Mathematics)51 of 180

Functional analysis — an evaluation condition defines an open set

Let C[0,1]C[0,1] denote the space of continuous functions on [0,1][0,1] with sup norm. The set M={f∈C[0,1]:f(12)≠0}M=\{f\in C[0,1]:f(\frac12)\ne0\} is:

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