Prob. 4 (a), Sec. 20 in Munkres' TOPOLOGY, 2nd edition: Which of these functions are continuous in these topologies?
59519
What about the continuity of these functions in the uniform topology?
154572
Continuity of a function at an isolated point
72190
Topological proof on discrete topology where $X$ is infinite
130975
Given a pair of continuous functions from a topological space to an ordered set, how to prove that this set is closed?
154751
$f$ brings convergent nets to convergent nets, is it continuous?
57468
Continuous homorphisms between topological groups.
135863
Is the graph of a continuous function homeomorphic to its domain?
32359
Inner product of two continuous maps is continuous
17223
Continuity of an inverse function.
54600
Is a convex and lower semicontinuous function defined on a closed and convex subset of $\mathbb{R}^n$ continuous?
155923
continuity of $f(x,y)$ in $\mathbb R^2$.
86472
$f:\mathbb R \to \mathbb R^n$ be such that $G(f):=\{(x,f(x)):x \in \mathbb R\}$ is closed and connected in $\mathbb R^{n+1}$ , is $f$ continuous ?
133633
A question about path-connected and arcwise-connected spaces
40071
What is the cardinality of the set of all topologies on $\mathbb{R}$?
31266
Proof of "the continuous image of a connected set is connected"
121957
Is $p\mapsto \|f\|_p$ continuous?
51156
Function is Continuous When Restricted to Closed Sets Which Cover the Space