New posts in continuity

Are "most" continuous functions also differentiable?

probability measure-theory derivatives continuity

Is a function defined at a single point continuous?

continuity definition

Inverse image of a compact set is compact

general-topology continuity compactness

An inflection point where the second derivative doesn't exist?

calculus real-analysis derivatives continuity

When is the image of a proper map closed?

general-topology continuity compactness closed-map

How misleading is it to regard $i$ as *the* square root of $-1$?

complex-analysis continuity notation branch-cuts

Proving continuity of two functions, one from a subspace of Y and other from the space Y

general-topology functions continuity

Discontinuous functions with closed graphs

general-topology examples-counterexamples continuity

Condition for continuity of bilinear form

continuity bilinear-form

Can a surjective continuous function from the reals to the reals assume each value an even number of times?

calculus real-analysis continuity

To show that the supremum of any collection of lower semicontinuous functions is lower semicontinuous

general-topology continuity supremum-and-infimum semicontinuous-functions

Lipschitz continuity of $\sqrt{f}$ for $f(x) = \sup_{\alpha \in T} \sum_{i=1}^d \left(\sum_{j=1}^D \alpha_j x_{ij}\right)^2$

continuity lipschitz-functions

Is the limit of the mean value of a function around a point equal to the value of the function at that point? [closed]

integration limits continuity average

Continuous Injective Map $f :\mathbb{S}^2 \rightarrow \mathbb{S}^1$

general-topology continuity connectedness

$\sqrt{x}$ isn't Lipschitz function

real-analysis analysis continuity holder-spaces lipschitz-functions

Fixed point in a continuous function

functions limits continuity

If $f$ is continuous at $a$, is it continuous in some open interval around $a$?

calculus real-analysis continuity examples-counterexamples

For an arbitrary continuous $\mathbb{R}\to\mathbb{R}$, how to show that a certain Borel set is contained in the set of finite differentiability?

real-analysis derivatives continuity borel-sets

If $\lim_n f_n(x_n)=f(x)$ for every $x_n \to x$ then $f_n \to f$ uniformly on $[0,1]$?

real-analysis convergence-divergence continuity

Why is this message “Good Morning/Evening” on the handoff section of the app switcher?

iphone ios continuity