Can the definition of continuity be said both of these ways?
8842
What's wrong with this "backwards" definition of limit?
10898
Is an integral always continuous?
39406
Continuity $\Rightarrow$ Intermediate Value Property. Why is the opposite not true?
108734
$T$ is continuous if and only if $\ker T$ is closed
44574
Continuity of absolute value of a function
86327
If the absolute value of a function is continuous, is the function continuous?
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
143618
If a function $f$ is continuous $\implies$ $|f|$ is continuous.(Answered by Myself)
97975
Does factor-wise continuity imply continuity?
85623
Proof of continuity implied by differentiability
125745
continuity of power series
149095
$f(\mathbb{R}\setminus \mathbb{Q}) \subseteq \mathbb{Q}$ and $f(\mathbb{Q}) \subseteq \mathbb{R}\setminus \mathbb{Q}$ imply that $f$ is not continuous
118332
proof $f(\overline{A})\subseteq \overline{f(A)} \Leftrightarrow f$ continuous
63214
Can continuity of inverse be omitted from the definition of topological group?
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
47199
Can $\le$ be used insted of < in the definition of continuity?
8321
Why differentiability implies continuity, but continuity does not imply differentiability?