List questions from equivalence-relations

Published on 13 Dec 2015 - 15:29

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Cardinality of this equivalence class

Published on 04 Apr 2026 - 5:39

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Given $S=\{0,1,2,3,4,5\}$, ﬁnd the partition induced by the equivalence relation $R$

Published on 28 Mar 2026 - 4:39

372

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Partition into "fibers" $f^{-1}(y) \in Y$

Published on 13 Dec 2015 - 23:08

37

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On an exercise that asks for a homeomorphism between a quotient space and a metrizable space.

Published on 13 Dec 2015 - 23:25

123

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Finding distinct equivalence classes.

Published on 15 Dec 2015 - 19:41

57

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Suppose $(a+i)^{a+i}\equiv a^a \mod p$ for all $a=1,2,..$ Then $i$ is divisible by $p(p-1)$

Published on 29 Mar 2026 - 11:50

323

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Can we always define a congruence category?

Published on 29 Mar 2026 - 3:39

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What is the symbol for "coincident" in geometry?

Published on 16 Dec 2015 - 18:25

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E1 and E2 are equivalent then they are "almost equivalent"

Published on 16 Dec 2015 - 20:15

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Equivalence relation: $aRb$ iff $2a+3b$ is divisible by $5$

Published on 19 Dec 2015 - 14:36

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Finding distinct equivalence classes

Published on 20 Dec 2015 - 13:36

472

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Equivalence relation and Distinct equivalence classes

Published on 20 Dec 2015 - 18:01

341

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$x\sim y$ if $|x-y|\le 3$, then is $\sim $ or R an equivalence relation?

Published on 21 Dec 2015 - 20:29

94

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Find the equivalence classes for $a T b \iff \frac a b \in \Bbb Q$

Published on 27 Dec 2015 - 18:10

List Question

Construct an equivalence relation on a given set

Cardinality of this equivalence class

Given $S=\{0,1,2,3,4,5\}$, ﬁnd the partition induced by the equivalence relation $R$

Partition into "fibers" $f^{-1}(y) \in Y$

On an exercise that asks for a homeomorphism between a quotient space and a metrizable space.

Finding distinct equivalence classes.

Suppose $(a+i)^{a+i}\equiv a^a \mod p$ for all $a=1,2,..$ Then $i$ is divisible by $p(p-1)$

Can we always define a congruence category?

What is the symbol for "coincident" in geometry?

E1 and E2 are equivalent then they are "almost equivalent"

Equivalence relation: $aRb$ iff $2a+3b$ is divisible by $5$

Finding distinct equivalence classes

Equivalence relation and Distinct equivalence classes

$x\sim y$ if $|x-y|\le 3$, then is $\sim $ or R an equivalence relation?

Find the equivalence classes for $a T b \iff \frac a b \in \Bbb Q$

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