Non-example of a lemma on continuity
65196
Gluing Lemma for Closed Sets: Infinite Cover Counter-Example
62817
Functions which are Continuous, but not Bicontinuous
113498
Example of topological spaces where sequential continuity does not imply continuity
136011
Must $f$ be continuous?
88259
prove that $\frac{1}{x}$ is not uniformly continuous on $(0,1)$
100919
Examples of non-measurable sets in $\mathbb{R}$
136538
How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
127114
Differentiability implying continuity
71487
Real Analysis: Continuity of a Composition Function
79107
Give an example of a function $f: \mathbb{R} \to \mathbb{R}$ which is continuous only at $0$.
100436
Examples of nowhere continuous functions
53738
Monotone functions and continuity
57014
Existence of a power series converging non-uniformly to a continuous function
125682
Proof verification: the product of two continuous functions is continuous
153495
Continuous function does not map closed set to closed set
127538
Show $f(x)=x\ln x$ is not uniformly continuous
154572
Continuity of a function at an isolated point