Continuity for integers valued functions
727
Prove that any continuous integer-valued function of a real variable is constant.
118048
Can a function with just one point in its domain be continuous?
46642
Continuity of $\sin(x)/x$
13765
Is a rational-valued continuous function $f\colon[0,1]\to\mathbb{R}$ constant?
64619
Continuity of a function of product spaces
141366
Absolutely continuity and Lipschitz-like continuity
119060
What can you say about a continuous function that is zero at all integer values?
73585
Why is the function continuous, if it is defined only on integers?
136011
Must $f$ be continuous?
59519
What about the continuity of these functions in the uniform topology?
151573
Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
145163
How do I show a function on 2-adic units is continuous?
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
88586
show that every continuous real-valued function defined on $S_{\mathbb{\Omega}}$ is eventually constant
87239
Prove functions defined by sup and inf are continuous
130019
Function that is continuous only on the transcendental numbers
17223
Continuity of an inverse function.