A List of Standard or "Cliche" Homeomorphisms
131873
Getting better at proofs
101893
Is there a classification of regular maps $\mathbb{P}^1(k)\to\mathbb{A}^1(k)$?
18034
Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
45432
Showing that $f:(0,2\pi]\to S^1$ is not a homeomorphism
3606
Wild automorphisms of the complex numbers
143043
When is a local homeomorphism a covering map?
34909
To what extent is a scheme morphism determined by its topological map?
41261
Functors that aren't continuous/smooth
37635
Diffeomorphism group of the unit circle
34699
A continuous bijection from a compact space to a $T_2$ space is always a homeomorphism
65472
From injective map to continuous map
82458
Homeomorphism between the unit disc and the unit square
30597
Morphism that is not a mapping
149029
3-manifold examples of homomorphisms between fundamental groups that are not induced by continuous maps
83446
bijective continuous function on $\mathbb R^n$ not homeomorphism?
57468
Continuous homorphisms between topological groups.
112131
Characterizing all ring homomorphisms $C[0,1]\to\mathbb{R}$.