Continuous version of the Cantor-Schroder-Bernstein Theorem
83166
Homeomorphism(topological spaces) version of Cantor–Bernstein–Schroeder theorem
12523
Supremum of a Continuous Function is Continuous
51156
Function is Continuous When Restricted to Closed Sets Which Cover the Space
31479
homeomorphism of cantor set extends to the plane?
99179
Continuous function with compact domain has continuous inverse
126759
Unbounded continuous function on non-compact metric space
34298
sequentially continuous on a non first-countable
19566
Continuous images of compact sets are compact
61122
A continuous mapping is determined by its values on a dense set
55019
Lebesgue density theorem in the line
71487
Real Analysis: Continuity of a Composition Function
50137
Using Cantor's lemma in a proof of convergence
20706
Non-existence of a Surjective Function from a Set to Its Subsets (Cantor's theorem)
58597
A characterization of functions from $\mathbb R^n$ to $\mathbb R^m$ which are continuous
70645
Borel set preserved by continuous map
115502
Analogue of the Cantor-Bernstein-Schroeder theorem for general algebraic structures
36149
A uniformly continuous function maps bounded set to bounded sets