New posts in supremum-and-infimum

is there example that inequality $\sup\{\inf\{f(x,y) : x \in X\}: y \in Y\} \le \inf\{\sup\{f(x,y) : y \in Y\}: x \in X\}$ be strict?

real-analysis analysis supremum-and-infimum

Rudin Theorem $1.11$

real-analysis analysis order-theory supremum-and-infimum upper-lower-bounds

compact set always contains its supremum and infimum

real-analysis analysis compactness supremum-and-infimum

Calculating the expecation of the supremum of absolute value of a Brownian motion

brownian-motion absolute-value supremum-and-infimum expected-value

supremum, infimum, max and min - assistance understanding the difference

real-analysis elementary-set-theory supremum-and-infimum

Infimum of $\{\frac{11}{n + 3} : n \in \mathbb{N}\}$

inequality supremum-and-infimum

Proving that $\sup_{s \in [a,b)}f(s)=\sup_{s \in [a,b)\cap \mathbb{Q}}f(s)$ for right continuous function.

real-analysis continuity supremum-and-infimum

Simple explanation of uniform norm / sup-norm?

normed-spaces supremum-and-infimum

Uniform convergence when $a \lt b$ but not if $a \geq b$

real-analysis convergence-divergence uniform-convergence supremum-and-infimum pointwise-convergence

Show that: $\inf(A+B) = \inf(A)+ \inf(B)$

real-analysis solution-verification supremum-and-infimum

limit infimum and limit of a sequence of functions

real-analysis limits supremum-and-infimum

Infinite sum of non-negative terms is equal to the supremum of the set of all finite sums

real-analysis sequences-and-series analysis supremum-and-infimum

Is $\{\sin^n{(n)}:n\in\mathbb{N}\}$ dense in $[-1,1]$?

sequences-and-series limits trigonometry supremum-and-infimum

Show that if $A\subseteq B$, then inf $B\leq$ inf $A\leq$ sup $A \leq$ sup $B$

real-analysis inequality supremum-and-infimum

Prove that $inf\ \{|x_n|, n \in \mathbb{N}\}=0$

sequences-and-series solution-verification supremum-and-infimum

$\liminf$ of a sequence of functions

sequences-and-series functions limsup-and-liminf supremum-and-infimum

Proving unboundedness of the natural numbers via the Axiom of Completeness

real-analysis supremum-and-infimum natural-numbers

Prove that the intersection have infinite elements

calculus elementary-set-theory supremum-and-infimum

Characteristic property of supremum on a set of the form $\{x_n: n\in \mathbb{N}\}$

real-analysis calculus analysis convergence-divergence supremum-and-infimum

Does every compact set in a normed space with a non-trivial interior has 2 path connected points in the boundary?

multivariable-calculus proof-writing compactness normed-spaces supremum-and-infimum