Nowhere Continuous Function
234
No continuous function switches $\mathbb{Q}$ and the irrationals
139763
A function takes every function value twice - proof it is not continuous
157500
Are continuous functions monotonic for very small ranges?
119060
What can you say about a continuous function that is zero at all integer values?
90745
Why aren’t continuous functions defined the other way around?
44057
Pointwise but not uniform convergence of continuous functions on $[0,1]$
53376
A continuous, nowhere differentiable but invertible function?
11974
product of two non zero continuous function is zero
140445
Sequence of continuous functions whose pointwise limit is discontinuous
153495
Continuous function does not map closed set to closed set
132730
Is there an everywhere discontinuous increasing function?
22641
Nonlinear function continuous but not bounded
143174
property of continuous function
15690
Is a function defined at a single point continuous?
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
1014
Pointwise limit of continuous functions not Riemann integrable
40576
Intermediate value property problem and continuous function