A map of two Euclidean spaces preserving connectedness and compactness is continuous
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
4538
Is the mapping $ d : X\times X \mapsto \mathbb {R} $ continuous?
65034
Are continuous self-bijections of connected spaces homeomorphisms?
83046
A linear map, continuous at zero, is bounded
99121
Extending a continuous map between the boundary of two cells.
117897
A homomorphism induces a continuous map from ${\rm Spec}(A') \to {\rm Spec}(A)$.
31747
Uniqueness of continuous extension from $A$ to $\overline{A}$ for maps into a Hausdorff space
40208
Locally Constant Functions on Connected Spaces are Constant
73559
Map preserving intervals but discontinuous
62887
Proof that a linear transformation is continuous
57468
Continuous homorphisms between topological groups.
138167
Image of a normal space under a closed and continuous map is normal
34344
Is a function that maps every compact set to a compact set continuous?
31266
Proof of "the continuous image of a connected set is connected"
51156
Function is Continuous When Restricted to Closed Sets Which Cover the Space
45252
"Every linear mapping on a finite dimensional space is continuous"
9268
Proving that the Union of Two Compact Sets is Compact