Finding an example of $\sigma:F\rightarrow F; a\mapsto a^p$ not surjective
93358
Find an example of a non-surjective field endomorphism
72644
Continuous injective map $f:\mathbb{R}^3 \to \mathbb{R}$?
20789
If $\Sigma \vdash \varphi$ then $\Sigma \vdash \forall x \varphi$. Why when $(\varphi \implies \forall x \varphi)$ is not true?
93923
No surjective bounded linear map from $\ell^2(\mathbf{N})$ to $\ell^1(\mathbf{N})$
151354
Why are there no non-trivial regular maps $\mathbb{P}^n \to \mathbb{P}^m$ when $n > m$?
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
39386
Harmonic non-surjective functions are constant
80735
Show that $C_0([a, b], \mathbb{R})$ is not $\sigma$-compact
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
146306
A continuous surjective function from $(0,1]$ onto $[0,1]$
62479
A isometric map in metric space is surjective?
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
148328
Example of a function $f$ on $X$ to $\mathbb{R}$ which is not $X$-measurable but $|f|$, and $f^2$ are measurable.
72642
Continuous bijection from $(a,b) \to S^1$?
47159
Wanted: example of an increasing sequence of $\sigma$-fields whose union is not a $\sigma$-field