Existence of Continuous function
234
No continuous function switches $\mathbb{Q}$ and the irrationals
79107
Give an example of a function $f: \mathbb{R} \to \mathbb{R}$ which is continuous only at $0$.
10747
Given function $g$ continuous in line $[0,\infty)$...
125682
Proof verification: the product of two continuous functions is continuous
98772
Continuity of a function in $\mathbb{R}$
64487
Continuous function and dense set
33114
Uniqueness of a continuous extension of a function into a Hausdorff space
102075
A function continuous on all irrational points
143174
property of continuous function
62817
Functions which are Continuous, but not Bicontinuous
153510
Questions about the existence of a function
9614
How does the existence of a limit imply that a function is uniformly continuous
12349
a construction of a continuous function from a normal space to [0,1]
118048
Can a function with just one point in its domain be continuous?
115878
Continuous unbounded but integrable functions
137971
Existence of an holomorphic function
64619
Continuity of a function of product spaces