Existence of a continuous surjection
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
15095
continuous onto map from $(0,1)\to (0,1]$
46748
If $g \circ f$ is surjective, show that $f$ does not have to be surjective?
38033
A surjective linear map into a finite dimensional space is open
72115
Why isn't there a continuously differentiable surjection from $I \to I \times I$?
156996
Do there exist general conditions under which we can conclude that continuity on a topological space is detected by $\mathbb{R}$?
34836
Composition of Absolutely Continuous Functions
19984
Example of topological spaces with continuous bijections that are not homotopy equivalent
72642
Continuous bijection from $(a,b) \to S^1$?
65034
Are continuous self-bijections of connected spaces homeomorphisms?
100465
Does there exist a continuous bijection from $(-1,1) \to (-1,1]$?
60070
Unique uniformly continuous function into complete space
21391
Proving Functions are Surjective
12349
a construction of a continuous function from a normal space to [0,1]
136538
How can I show that a bijection between $[0,1)$ and $(0,1)$ cannot be continuous?
76674
Let $S:U\rightarrow V, \ T:V\rightarrow W$ and if $S$ and $T$ are both injective/surjective, is $T\circ S$ injective/surjective?
77944
Injective functions with intermediate-value property are continuous. Better proof?