Math 131 Spring 2022 041822 Continuous nowhere-differentiable function, Sequential compactness
Construction of (fractal) continuous, nowhere-differentiable function (along the lines of Weierstrass). New section: sequential compactness-type results for function spaces. Notions of boundedness: pointwise bounded sequences of functions, uniformly bounded sequences of functions. Example showing that uniformly bounded continuous functions on a compact set need not have a pointwise convergent subsequence.
"Weak result": pointwise bounded functions on a countable set have a pointwise convergent subsequence.
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