New posts in continuity

If $p$ is a non-zero real polynomial then the map $x\mapsto \frac{1}{p(x)}$ is uniformly continuous over $\mathbb{R}$

real-analysis polynomials continuity uniform-continuity

Finding Delta Algebraically for a Given Epsilon?

calculus algebra-precalculus limits continuity epsilon-delta

Continuous Functions and Cauchy Sequences

real-analysis sequences-and-series continuity examples-counterexamples cauchy-sequences

Does a continuous function take Cauchy sequences to Cauchy sequences?

metric-spaces continuity cauchy-sequences

If $f(A)\to A^{-1}$, prove that $f$ is continuous.

real-analysis continuity matrix-calculus

Prove that an increasing and surjective function is continuous.

real-analysis continuity

Handoff stopped working for messages

messages high-sierra ios continuity

Compact open topology on $\operatorname{GL}(n, \mathbb{R})$ coincides with Euclidean topology.

general-topology algebraic-topology continuity universal-property

What are the points of discontinuity of $\tan x$?

calculus continuity

Are there any geometric interpretations to uniform continuity?

calculus continuity

Is a continuous function locally uniformly continuous?

general-topology continuity examples-counterexamples uniform-continuity

Are these implications about topology true or false?

calculus general-topology elementary-set-theory continuity

An example of a bounded, continuous function on $(0,1)$ that is not uniformly continuous

real-analysis limits continuity examples-counterexamples uniform-continuity

Which of the following is definitely false?

calculus limits continuity graphing-functions

Does Universal clipboard works on ethernet?

wifi copy-paste ethernet continuity

Continuity limitations

continuity

Issue with Spivak's Solution

calculus real-analysis analysis continuity

There is a set of continuous functions $f$ on [0, 1] with supremum metric (metric space). Proof that $\phi(f) = f(0) + f(1)$ is continous

continuity metric-spaces topological-vector-spaces

Continuity of $f(x,y)=4x^3y^{11}(x^4+y^8)^{-2}$ at $(0,0)$

multivariable-calculus continuity

What's the difference between uniformly equicontinuous and uniformly continuous?

continuity uniform-continuity