Will the inverse mapping also be continuous?
62817
Functions which are Continuous, but not Bicontinuous
72115
Why isn't there a continuously differentiable surjection from $I \to I \times I$?
15095
continuous onto map from $(0,1)\to (0,1]$
76234
Is this vector-valued map Hölder-continuous?
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
32571
Is the maximum function of a continuous function continuous?
65472
From injective map to continuous map
64619
Continuity of a function of product spaces
43626
Open Mapping Theorem: counterexample
65033
Prove inverse of strictly monotone increasing function is continuous over the range of original function
64260
Prove that a function between metric spaces is continuous iff the inverse image of a closed set is closed
118048
Can a function with just one point in its domain be continuous?
86327
If the absolute value of a function is continuous, is the function continuous?
62887
Proof that a linear transformation is continuous
7036
Is there a bijective continuous function $f: \Bbb R \to \Bbb R$ whose inverse $f^{-1}$ is not continuous?
63598
Is every separately continuous function on $R^2$ continuous?
149999
fixed point of a continuous map on a projective space