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New posts in continuity
Continuity of derivative of convex function
derivatives
continuity
convex-analysis
monotone-functions
$f:[0,2\pi]\rightarrow$ {$(x,y):x^2+y^2=1$} by $f(\theta)=(\cos\theta,\sin\theta)$ is a closed map
continuity
quotient-spaces
closed-map
Given a continous real function, it is almost globally Lipschitz:
real-analysis
inequality
continuity
lipschitz-functions
Example of topological spaces where sequential continuity does not imply continuity
general-topology
continuity
examples-counterexamples
Derivative of floor function using epsilon/delta
real-analysis
derivatives
continuity
epsilon-delta
ceiling-and-floor-functions
A continuous function that attains neither its minimum nor its maximum at any open interval is monotone
real-analysis
continuity
Need Help : Proving polynomials are continuous, without circular reasoning
real-analysis
limits
continuity
epsilon-delta
Why is/isn't the derivative of a differentiable function continuous?
real-analysis
analysis
derivatives
continuity
How can I show that this strange function is continuous at irrational points?
real-analysis
continuity
How discontinuous can the limit function be?
real-analysis
limits
continuity
Graph of continuous function from compact space is compact.
real-analysis
general-topology
continuity
compactness
Problem 12 at Section 5.3 in Bartle and Sherbert's books on Real Analysis
real-analysis
continuity
Is there a discontinuous function such that it is continuous on each restriction?
general-topology
continuity
Example of a function continuous at only one point. [duplicate]
real-analysis
functions
continuity
Show that the supremum of a collection of lower semicontinuous function is lower semicontinuous
real-analysis
continuity
semicontinuous-functions
Multivariate Weierstrass theorem?
real-analysis
continuity
uniform-continuity
approximation-theory
Where is the error in my proof that all derivatives are continuous?
calculus
real-analysis
derivatives
continuity
How to prove continuity of $e^x$.
continuity
exponential-function
Is it really true that "if a function is discontinuous, automatically, it's not differentiable"? [duplicate]
calculus
ordinary-differential-equations
continuity
Cardinality of set of all everywhere-discontinuous functions
functions
elementary-set-theory
continuity
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