New posts in continuity

Uniform continuity of the function $x\log(\frac{1}{x})$ on$ (0,\infty)$.

real-analysis continuity uniform-continuity

Prove that for all $c \in [0,\infty)$ there exists $x \in \mathbb{R}$ such that $xe^x=c$ by the intermediate value theorem

analysis continuity

Continuity of function - Proof verification

real-analysis continuity solution-verification

Continuous function on closed unit ball

real-analysis functional-analysis continuity fixed-point-theorems

True Or not: Compact iff every continuous function is bounded [duplicate]

general-topology continuity compactness

Is a continuous function simply a connected function?

general-topology continuity connectedness

Why is the topological definition of continuous the way it is?

real-analysis general-topology limits metric-spaces continuity

A function takes every function value twice - proof it is not continuous

limits soft-question continuity

Maximal Ideals in Ring of Continuous Functions

abstract-algebra ring-theory continuity maximal-and-prime-ideals

If $f$ is continuous on $[a,b]$ and $F(x) = \sup f([a,x])$. Prove that $F$ is continuous on $[a,b]$ . [duplicate]

real-analysis continuity supremum-and-infimum

Continuity of Popcorn Function (Thomae's Function)

calculus real-analysis analysis functions continuity

Is a continuous function plus a discontinuous function discontinuous?

limits continuity

sequential continuity vs. continuity

general-topology convergence-divergence continuity

Proof that $\sqrt x$ is absolutely continuous.

real-analysis continuity

Does continuity depend on the distance function?

general-topology elementary-set-theory continuity

Give an example of a function $h$ that is discontinuous at every point of $[0,1]$, but with $|h|$ continuous on $[0,1]$

real-analysis continuity examples-counterexamples

Are there continuous functions for which the epsilon-delta property doesn't hold? [duplicate]

calculus real-analysis limits continuity epsilon-delta

Way to copy-paste through airdrop with other people

copy-paste airdrop continuity

Why Handoff is not working after network reset? (iOS/iPadOS 13.2)

iphone ios ipad network continuity

Continuous on a set

functions continuity