Loops as maps from $S^1\to X$, Hatcher 1.15
49505
Problem 1.1.5 from Hatcher's
127631
On a conformal mapping
154142
Finding a specific basis for an endomorphism
154837
mapping properties of $(1−z)^i$
124467
Can $(X_1,X_2) \cap (X_3,X_4)$ be generated with two elements from $k[X_1,X_2,X_3,X_4]$?
12469
$\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
64463
Proof that angle-preserving map is conformal
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
120100
Hairy Ball Theorem: homotopy from the identity to the antipodal map
5802
Proving the universal mapping property for polynomial rings
60731
Factorization of a map between CW complexes
135059
Prove that the unit circle, $S^1:=\{(x,y)\in \mathbb{R}^2: x^2+y^2=1\}$, Is a one-dimensional manifold
140612
Two homologous but not homotopic loops on a closed surface of genus greater than one
93776
Bijective mapping between $\mathbb{R}^2$ and $\mathbb{R}$?
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
4555
How to write permutations as product of disjoint cycles and transpositions
103106
Proving that any permutation in $S_n$ can be written as a product of disjoint cycles