New posts in continuity

Lang's proof that there exists $x>0$ such that $\cos x=0$

real-analysis derivatives trigonometry continuity proof-explanation

Ring homomorphisms between $C([0,1], \mathbb{R})$ and $C(\text{Cantor set},\mathbb{R})$

abstract-algebra ring-theory continuity cantor-set

I think I found a flaw in the $\varepsilon$-$\delta$ definition of continuity.

Prove that the product of two continuous functions is continuous

real-analysis continuity epsilon-delta

Show that $f$ is uniformly continuous if limit exists

real-analysis general-topology continuity

What is a continuous extension?

calculus real-analysis continuity

Is It Always Possible to Draw A Connected Compact Set in $\mathbb R^2$?

real-analysis metric-spaces continuity

A topological function with only removable discontinuities

general-topology limits continuity

Is $f(x)=\sum_{n=1}^\infty\frac{nx^2}{n^3+x^3}$ uniformly continuous on $[0,\infty)$?

real-analysis continuity uniform-continuity

How can I use wifi only for handoff?

network wifi security firewall continuity

A function $f:\mathbb{R}^2\to\mathbb{R}^2$ that is open and closed, but not continuous.

real-analysis general-topology continuity

Homeomorphism between open unit ball and $\mathbb R^n$

real-analysis general-topology continuity

For continuous functions, preimage of open set is open.

general-topology metric-spaces continuity

The definition of locally Lipschitz

real-analysis analysis derivatives continuity normed-spaces

Continuous function proof by definition

real-analysis functions continuity

Proof that the Dirichlet function is discontinuous

calculus analysis functions continuity

Disable magic switch to Apple watch

apple-watch siri airpods watchos continuity

Must a continuous, non-constant, and periodic functions have a smallest period?

real-analysis continuity periodic-functions

Is there a pathological continuous function $\ f:\mathbb{R}\to\mathbb{R}\ $ that is nowhere increasing or decreasing and has no local extrema?

real-analysis general-topology continuity problem-solving transfinite-induction

continuity at isolated point [duplicate]

real-analysis continuity