Definition of continuous function in topological space
90745
Why aren’t continuous functions defined the other way around?
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
60383
What is the intuition for the point-set topology definition of continuity?
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
80872
Remark from baby Rudin about continuous function
64487
Continuous function and dense set
44402
If $\{x:f(x) > a\}$ and $\{x:f(x) < a\}$ are open$\forall~a\in\mathbb{R}$ then f is continuous.
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
126759
Unbounded continuous function on non-compact metric space
136583
Infimum is a continuous function, compact set
59519
What about the continuity of these functions in the uniform topology?
151410
Inequality of continuous functions
36149
A uniformly continuous function maps bounded set to bounded sets
77621
Continuity of function mapping connected set to connected set
133265
Definition of continuity at a point
156996
Do there exist general conditions under which we can conclude that continuity on a topological space is detected by $\mathbb{R}$?
15487
Continuous function from a connected set?