Difference between revisions of "Tacit extension"
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==See also== | ==See also== | ||
+ | {{col-begin}} | ||
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* [[Cartesian product]] | * [[Cartesian product]] | ||
* [[Inverse relation]] | * [[Inverse relation]] | ||
+ | * [[Injection (mathematics)]] | ||
* [[Projection (mathematics)]] | * [[Projection (mathematics)]] | ||
+ | {{col-break}} | ||
* [[Relation (mathematics)]] | * [[Relation (mathematics)]] | ||
* [[Relation composition]] | * [[Relation composition]] | ||
* [[Relation construction]] | * [[Relation construction]] | ||
* [[Relation reduction]] | * [[Relation reduction]] | ||
+ | {{col-end}} | ||
[[Category:Category Theory]] | [[Category:Category Theory]] |
Revision as of 16:42, 23 February 2009
In logic and mathematics, a tacit extension is an injection of a set into a cartesian product that has that set as one of its factors. There are many such injections, all of which serve as inverse operations to the projection of the Cartesian product onto the set in question, but the tacit extension is the one that places no additional constraints on the injection mapping.