If a mapping is continuous and a bijection, the inverse mapping is also continous?
160
homeomorphism non-example
99179
Continuous function with compact domain has continuous inverse
19984
Example of topological spaces with continuous bijections that are not homotopy equivalent
133422
How to prove the continuity of an induced map; $g_* : C(X, Y) \rightarrow C(X, R)$, induced from the map $g \in C(Y, R)$, endowed with fine topology.
72642
Continuous bijection from $(a,b) \to S^1$?
147788
Why is every map to an indiscrete space continuous?
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
33129
A linear map $S:Y^*\to X^*$ is weak$^*$ continuous if and only if $S=T^*$ for som $T\in B(X,Y)$
21269
Bijective continuous function between $(0 ,\infty)$ and $\mathbb{R}$.
38257
Continuous bijection from $(0,1)$ to $[0,1]$
22061
$|f(x)-f(y)|\geq k|x-y|$.Then $f$ is bijective and its inverse is continuous.
2198
Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
152493
Is an expanding map on a compact metric space continuous?
146306
A continuous surjective function from $(0,1]$ onto $[0,1]$
74502
Proving the bijection of a continuous function $f$ such that $|f(x)-f(y)| \geq \log(1+|x-y|) \forall x,y$ in $\mathbb{R}.$
110885
Does there exists a continuous surjection from $\mathbb{R}$ to $\mathbb{R}^2$?