Does existence of continous bijections imply homeomorphism?
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions
16228
Show that there is sequence of homeomorphism polynomials on [0,1] that converge uniformly to homeomorphism
2198
Maps from subsets of $\mathbb{R}^2$ that are either open/closed/continuous
101319
Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes
141114
Question about a bijection between $\mathbb R$ and $\mathbb R \cup \{\infty\}$
65472
From injective map to continuous map
90010
Can we ascertain that there exists an epimorphism $G\rightarrow H$?
132868
Bijection between an infinite set and its union of a countably infinite set
36237
Closed set mapped to itself in a compact Hausdorff space
155794
Are the complements of two homeomorphic compact, connected subsets of $\mathbb{R}^2$ homeomorphic?
149980
Are there any countable Hausdorff connected spaces?
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
157987
Can a space $X$ be homeomorphic to its twofold product with itself, $X \times X$?
77835
Proof that injective rearrangements of a convergent sequence preserves its limit
111689
Surjective, but not injective endomorphism
116732
Proving that a continuous map is surjective
33367
Homeomorphism definition