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Relations exercise Charles C. Pinter

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#functions #elementary-set-theory #relations #equivalence-relations
96
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Definition of Grothendieck topology

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#category-theory #definition #equivalence-relations #grothendieck-topologies
26
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Equivalence relation with non-disjoint equivalence classes!

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#equivalence-relations
45
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Confused by this question about proving the equivalence (identicalness) of two equivalence relations

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#elementary-set-theory #equivalence-relations #set-partition
82
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Example 3.8 in Awodey's Category Theory

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#category-theory #equivalence-relations
537
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The Quotient Topology of a Discrete Topological Space

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#general-topology #analysis #equivalence-relations #connectedness #quotient-spaces
75
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Show that $\frac{\mathbb{R}[x]}{\langle x^{2}+1 \rangle}$ is isomorphic to $\mathbb{C}$ without using fundamental theorem.

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#abstract-algebra #polynomials #complex-numbers #field-theory #equivalence-relations
38
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Let $H=\{[0]_8, [4]_8\} \subset \Bbb Z_8$ and $[a]_8 \sim [b]_8$ if $-[a]_8 +[b]_8 \in H$. Determine the elements in the equivalence class of $[1]_8$.

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#abstract-algebra #group-theory #modular-arithmetic #equivalence-relations
50
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Simpler definition of equivalence relation

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#definition #equivalence-relations
115
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Why is independence of representation a sufficient property to not cause contradictions when defining sets

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#abstract-algebra #elementary-set-theory #equivalence-relations
491
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Examples/Applications of equivalence relations in Computer Science

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#elementary-set-theory #computer-science #equivalence-relations
91
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Quotient of a ring that identifies associates

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#abstract-algebra #ring-theory #equivalence-relations
158
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Is there an equivalence between $a$ and $b$ when $ab \in H$, $H \subset G$

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#group-theory #solution-verification #equivalence-relations #fake-proofs
256
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Do some cyclic subgroups "partition" a group?

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#group-theory #examples-counterexamples #equivalence-relations #cyclic-groups #set-partition
91
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Well-definedness of a Function from a Quotient Set to the Cartesian Product of Two Quotients Sets

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#set-theory #equivalence-relations

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