List questions from equivalence-relations

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On 1-1 correspondence and equivalence relation

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Equivalence Class and Cauchy

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Given the relation show its well defined and an equivalence relation.

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Multiplicative inverses in the integers modulo n

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Show that $d$ is equivalent to the usual metric on $\mathbb{N}$ but that $(\mathbb{N},d)$ is not complete.

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Homotopy is an equivalence relation on the set of all loops on X.

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Let $k ∈ N0$ be a fixed non-negative integer.

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question regarding partitions of set by equivalence relation

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How do isomorphisms determine equivalence relations on the class of all groups?

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Assume $m$ divides $n$. Show for any integer $a$, $[a]_m$ is the union of $[a]_n, [a+m]_n, [a+2m]_n,..., [a+(n-m)]_n$

Published on 25 Mar 2026 - 4:43

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Proof that "$f$ injective" and "$f$ possesses a recipracal" are equivalent

Published on 25 Mar 2026 - 16:03

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Bijective application

Published on 05 Apr 2026 - 10:58

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Is Love $\subseteq$ Person $\times$ Person an equivalence relation, partial order or total order?

Published on 25 Mar 2026 - 3:03

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Let $S = \{1, 2, 3\}$. Select all those that give equivalence relations on $S$.

Published on 26 Mar 2026 - 9:17

List Question

Equivalence relation on not equal sets

On 1-1 correspondence and equivalence relation

Equivalence Class and Cauchy

Given the relation show its well defined and an equivalence relation.

Multiplicative inverses in the integers modulo n

Show that $d$ is equivalent to the usual metric on $\mathbb{N}$ but that $(\mathbb{N},d)$ is not complete.

Homotopy is an equivalence relation on the set of all loops on X.

Let $k ∈ N0$ be a fixed non-negative integer.

question regarding partitions of set by equivalence relation

How do isomorphisms determine equivalence relations on the class of all groups?

Assume $m$ divides $n$. Show for any integer $a$, $[a]_m$ is the union of $[a]_n, [a+m]_n, [a+2m]_n,..., [a+(n-m)]_n$

Proof that "$f$ injective" and "$f$ possesses a recipracal" are equivalent

Bijective application

Is Love $\subseteq$ Person $\times$ Person an equivalence relation, partial order or total order?

Let $S = \{1, 2, 3\}$. Select all those that give equivalence relations on $S$.

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