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Is there a second Church-Kleene ordinal?

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#supremum-and-infimum #ordinals #transfinite-recursion
264
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When does Max=Sup ?

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#supremum-and-infimum
482
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If $f$ is a continuous function then Argmax of $f$ is continuous?

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#real-analysis #supremum-and-infimum
46
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Why is $c=f(c)$ the infimum of $Y=\{x\in X| a\le x\le b, x\le f(x)\}$?

Published on
#order-theory #supremum-and-infimum #monotone-functions
217
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Prove an identity of the infimum of entropy function

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#supremum-and-infimum #entropy
347
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If a function's limit is zero at infinity what can we say about its supremum?

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#calculus #real-analysis #supremum-and-infimum
52
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Find a positive number $C$ such that $f(s)<C\cdot g(s/C)$ for all $s$

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#real-analysis #functional-analysis #inequality #supremum-and-infimum
187
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$S$ be a non empty subset of $\mathbb{R}$ having supremum and $T=\{x\in\mathbb{R}: x-a \in S\}$, then $\forall a \in \mathbb{R}$, $\sup T=a+\sup S$.

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#real-analysis #supremum-and-infimum
56
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Is $\inf_{[0,\:t]}f=\inf_{[0,\:t]\:\cap\:\mathbb Q}f$ even when $f$ is only left-continuous?

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#calculus #real-analysis #analysis #continuity #supremum-and-infimum
268
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to show supremum exists, in a set satisfying g. l. b property

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#supremum-and-infimum
75
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Does $(X, \leqslant)$ have the smallest element?

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#elementary-number-theory #elementary-set-theory #supremum-and-infimum
1k
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Supremum and infimum of Multiplicative inverse

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#supremum-and-infimum
3.4k
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Associativity of a lattice

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#proof-writing #order-theory #supremum-and-infimum #lattice-orders #associativity
240
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Finding supremum and infimum

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#supremum-and-infimum #ceiling-and-floor-functions
85
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Supremum infinum notation

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#metric-spaces #supremum-and-infimum

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