$I = [0,1]$ with euclidean topology. $f : I \rightarrow I^2 = I \times I$. If f is surjective then f is not injective
50649
On the existence of a continuous bijection $f\colon [0,1]\to [0,1]\times [0,1]$
101319
Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes
107076
Prove $S^1$ is not homeomorphic to $S^2$ using connectedness
141114
Question about a bijection between $\mathbb R$ and $\mathbb R \cup \{\infty\}$
106884
Is there a continuous bijection between an interval $[0,1]$ and a square: $[0,1] \times [0,1]$?
62479
A isometric map in metric space is surjective?
89058
Question on finite Vector Spaces, injective, surjective and if $V$ is not finite
45792
Rigorous proof that surjectivity implies injectivity for finite sets
45991
Why $f\colon \mathbb{Z}_n^\times \to \mathbb{Z}_m^\times$ is surjective?
53971
If $g:V \rightarrow V$ is an injective linear transformation. Prove if $V$ is finite dimensional then $g$ is surjective.
148500
Understanding this theorem and how to go about proving it surjectivity?
84301
Showing that some Function on the Unit Disc is injective
103717
Topological Property of the Set of Integers
57269
A special bijection between $\mathbb{R}\times \mathbb{R}$ and $\mathbb{R}$
16610
Surjectivity of a map from a space to itself
63146
Proof of properties of injective and surjective functions.
45380
Surjectivity implies injectivity and conversely