Mathematical logic and foundations Concept
Equivalence relation
Summary
An equivalence relation is a relation that behaves like equality: it is reflexive, symmetric and transitive.
Where this leads
37 pages build on this one.
- Direct limit of rings
- Quotient category
- Germ of a holomorphic function
- Suspension
- Homotopic maps
- Kolmogorov quotient
- Rational map
- Stable homotopy theory
- Adjunction space
- Homotopy type
- Germ of an analytic set
- Irreducible analytic germ
- Stalk
- Knot
- Thom spectrum
- Subobject
- Rosenberg's classification of maximal clones
- Projective space
- Congruence relation
- Coequalizer
- Localization
- Lindenbaum–Tarski algebra
- Groupoid
- Direct limit of algebras
- Localization of a space
- Green's relations
- Localization of a module
- Toda bracket
- Hyperreal number
- Lattice congruence
- Ultraproduct
- Cobordism
- Vitali set
- Colimit
- Germ
- Spectrum
- Exact category in the sense of Barr
Further reading
- Web https://en.wikipedia.org/wiki/Equivalence_relation, lead section
About this page
| Tag | 0G8VEZ3WTK |
|---|---|
| URI | m2://0G8VEZ3WTK |
| Aliases | equivalence |
| Kind | concept |
| Writing | W1 stated |
| MSC | 03E20 |
| Specializes | Reflexive relation, Symmetric relation, Transitive relation |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Definitions
Used by
- Direct limit of rings
- Quotient category
- Suspension
- Homotopic maps
- Kolmogorov quotient
- Rational map
- Adjunction space
- Homotopy type
- Stalk
- Knot
- Subobject
- Rosenberg's classification of maximal clones
- Projective space
- Congruence relation
- Coequalizer
- Localization
- Lindenbaum–Tarski algebra
- Groupoid
- Direct limit of algebras
- Green's relations
- Localization of a module
- Hyperreal number
- Lattice congruence
- Ultraproduct
- Cobordism
- Vitali set
- Colimit
- Germ
- Exact category in the sense of Barr