Homotopy equivalence of S1 and R2-0
117104
Is the punctured plane homotopy equivalent to the circle?
127365
Question on showing a bijection between $\pi_1(X,x_0)$ and $[S^1, X]$ when X is path connected.
135059
Prove that the unit circle, $S^1:=\{(x,y)\in \mathbb{R}^2: x^2+y^2=1\}$, Is a one-dimensional manifold
58135
Quotient group $SL(2,\mathbb{R})/SO(2,\mathbb{R})$
20692
Homotopy groups of a wedge sum
93471
Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$
148685
Equivalences of definitions of submanifolds in $\mathbb{R^n}$
75988
Explicit isomorphism $S_4/V_4$ and $S_3$
56364
Confusion about Homotopy Type Theory terminology
52548
Topological group: Multiplying two loops is homotopic to linking these paths?
21936
what does "SU2 is homeomorphic to the unit 3-sphere in R4 " mean
6227
Showing diffeomorphism between $S^1 \subset \mathbb{R}^2$ and $\mathbb{RP}^1$
18034
Is there an equivalence relation of which the quotient topology is homeomorphic to codomain of a quotient map?
92303
Homology of $S^1 \times (S^1 \vee S^1)$
150986
For a Noetherian ring $R$, we have $\text{Ass}_R(S^{-1}M)=\text{Ass}_R(M)\cap \{P:P\cap S=\emptyset\}$
140612
Two homologous but not homotopic loops on a closed surface of genus greater than one
55064
Homology groups of torus