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New posts in continuity
Why is the change-to-polar-coordinate method valid in computing limits?
real-analysis
analysis
continuity
polar-coordinates
When does convergence in range imply convergence of arguments?
real-analysis
functional-analysis
continuity
linear-transformations
operator-theory
Continuous function with local maxima everywhere but no global maxima
analysis
continuity
special-functions
prove that a non constant periodic, continuous function has a "smallest period"
calculus
continuity
uniform-continuity
Am I correct in my proof that $x^2+x$ is continuous
real-analysis
continuity
continuity of $\max \{f_1(x),f_2(x),\cdots,f_m(x) \}$ at $a$
real-analysis
proof-verification
continuity
If two continuous maps into a Hausdorff space agree on a dense subset, they are identically equal [duplicate]
general-topology
continuity
separation-axioms
$4\cos(x) -x = 0$: There exist at least two solutions [closed]
continuity
proof-writing
solution-verification
If $f:X \to X$ is a continuous bijection and every point has finite orbit, is $f^{-1}$ continuous?
general-topology
functions
continuity
Prove that if f is a continuous strictly monotone function defined on an interval, then its inverse is also a continuous function.
real-analysis
continuity
Interval of monotonicity of the function $f(x)=\frac{\ln (\pi+x)}{\ln (e+x)}$
algebra-precalculus
derivatives
continuity
monotone-functions
Can $\le$ be used insted of < in the definition of continuity?
real-analysis
general-topology
functional-analysis
metric-spaces
continuity
Strict monotony for a function to be invertible [duplicate]
real-analysis
analysis
functions
continuity
proving that $f(x) = x^s$ is holder continuous with holder exponent s
analysis
continuity
holder-spaces
How can I prove that a continuous injective function is increasing/decreasing? [duplicate]
real-analysis
functions
continuity
If $f: \mathbb{C} \to \mathbb{C}$ is continuous and analytic off $[-1,1]$ then is entire.
complex-analysis
continuity
analytic-functions
entire-functions
Continuity of coordinate functions
general-topology
functions
continuity
Spaces with the property: Uniformly continuous equals continuous
general-topology
functional-analysis
continuity
uniform-spaces
uniform-continuity
Differentiable vs continuous
functions
derivatives
continuity
Separately continuous functions that are discontinuous at every point
general-topology
continuity
examples-counterexamples
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