Injective functions between an interval and a square
13398
Prove that the interval $(0, 1)$ and the Cartesian product $(0, 1) \times (0, 1)$ have the same cardinality
102299
Bijection between $\mathbb{R}^n$ and $\mathbb{R}^m$
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions
119702
Showing a bijection between the set of ringhomomorphisms $\mathbb{Z}[i] \to R$ and the set of $x \in R$ for which $x^2+1=0$
35953
Prove that a function is not injective
148731
Constructing a bijection between $[a,b)$ to $(0,1)$
6186
An Integrable function which is not essentially bounded on any subinterval of $[0,1]$
33330
Continuous Functions from $\mathbb{R}$ to $\mathbb{Q}$
121708
$S := \{x \in \Bbb R^3: ||x||_2 = 1 \}$ and $T: S^2 \to \Bbb R$ is a continuous function. Is $T$ injective?
52798
Finding counterexamples: bijective continuous functions that are not homeomorphisms
115636
Show that $f$ is either injective or a constant function.
53168
Surjective, Injective, Bijective Functions from $\mathbb Z$ to itself
44689
Explicit bijection between $[0,1)$ and $(0,1)$
126259
Minimum of a function on an open interval
152438
Is the composition of two injective functions injective?
74453
Injective and Surjective Functions
113799
Is there an injective $C^1$ curve dense in the plane?