Equivalence relations--prove R/~ is homeomorphic to R
131082
Proof that $\mathbb R/[0,1]$ and $\mathbb R$ are homeomorphic
73334
Proving this relation is transitive
3465
Equivalence relations and power sets.
59727
Understanding equivalence class, equivalence relation, partition
140724
How to prove two equivalence classes are disjoint?
99911
How to show that if $x=(p,q)$ and $y=(p',q')$ then $x \sim y $ if $pq'=p'q$ is an equivalence relation?
98630
For all $x,y\in\mathbb{R}$ define that $x\equiv y$ if $x^{2}=y^{2} $; prove $\equiv$ is an equivalence relation.
39453
How do I prove that $S^n$ is homeomorphic to $S^m \Rightarrow m=n$?
145722
Prove there is a bijection between the set of $R[x]$-module structures on $M$ and $\mathrm{End}_{R-\mathsf{Mod}}(M)$.
115663
Proving an isomorphism using the isomorphism theorems
151803
Prove that $R$ is commutative
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
89167
Cardinality of equivalence relations in $\mathbb{N}$
150857
Equivalence relations on S given no relation?
38378
$M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
26197
$B^n/S^{n-1}$ is homeomorphic to $S^n$
107383
Derived sets - prove $(A \cup B)' = A' \cup B'$