An equicontinuous sequence of functions bounded by a function $\phi$ with $\lim_{x\rightarrow\pm\infty}\phi(x)$ has a uniformly convergent subsequence

score 322 · Answer 12 · 2026-02-23 17:45:42

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Application of Arzela-Ascoli theorem: showing equicontinuity and pointwise boundedness

Published on 23 Feb 2026 - 17:45

score 108 · Answer 13 · 2026-04-11 02:47:25

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Failure of Arzelà-Ascoli when some hypotheses are dropped

Published on 11 Apr 2026 - 2:47

score 258 · Answer 14 · 2026-02-23 17:44:57

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Ascoli-Arzelà and compact embedding of $W^{1,p}(\Omega)$

Published on 23 Feb 2026 - 17:44

score 74 · Answer 15 · 2026-02-23 17:49:49

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The failure of Arzela-Ascoli over non-archimedean fields

Published on 23 Feb 2026 - 17:49

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An equicontinuous sequence of functions bounded by a function $\phi$ with $\lim_{x\rightarrow\pm\infty}\phi(x)$ has a uniformly convergent subsequence

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