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is Every arbitrary identity relation also an equivalence relation?

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#equivalence-relations
180
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The equivalence relation $a\sim b\iff a^{-1} b\in S$ for a subset $S$ of a group $G$.

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#group-theory #equivalence-relations
18
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How is a relation between elements inside a set an equivalence relation?

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#equivalence-relations
98
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what is this function called in english?

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#general-topology #terminology #equivalence-relations #quotient-spaces
20
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number of equivalence relations of unions of sets

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#equivalence-relations
157
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Two different notations used for a preorder relation

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#notation #equivalence-relations
71
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Show that it is an equivalence class

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#relations #equivalence-relations
36
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Find a map that glues together the pairs $(x,y)$ and $(y,x)$

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#linear-algebra #multivariable-calculus #equivalence-relations
35
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Is $R$ an equivalence relation and if so what is the equivalence class?

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#linear-algebra #equivalence-relations
36
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Is $(E/R,\epsilon_1/R)$ homeomorphic to $([1,2],\epsilon_1)$, E being an ellipse?

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#general-topology #equivalence-relations
131
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Orientation on a line and equivalence relation

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#geometry #equivalence-relations #axiomatic-geometry
209
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Is the class of all equivalence relations a lattice?

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#order-theory #equivalence-relations #lattice-orders #universal-algebra
1.2k
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how to show the equivalence relation

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#equivalence-relations
131
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Element uniqueness/antisymmetry in partial ordering

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#elementary-set-theory #relations #order-theory #equivalence-relations
116
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General description of colimits in $\mathbf{Set}$

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#category-theory #proof-explanation #equivalence-relations #limits-colimits

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