General conditions for a continuous bijection to be a homeomorphism
32340
Continuous bijections and their inverses
126463
Can open sets and closed sets of $\mathbb{R}^n$ be homeomorphic?
143140
When are quotients of homeomorphic spaces homeomorphic?
21707
Constructing a Bijective function via an injective and surjective one.
143043
When is a local homeomorphism a covering map?
33114
Uniqueness of a continuous extension of a function into a Hausdorff space
27746
Autohomeomorphism of the unit disk which is constant on the boundary, and which takes 0 to a prescribed point
20284
Continuous injective map is strictly monotonic
32359
Inner product of two continuous maps is continuous
52798
Finding counterexamples: bijective continuous functions that are not homeomorphisms
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
111246
product of two continuous proper maps
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
19984
Example of topological spaces with continuous bijections that are not homotopy equivalent
34293
Homeomorphism between pairs of letters
95086
Homeomorphism is bijective
101319
Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes