exponential object
exponential object · exponential objects
An object which indexes a family of arrows between two given objects in a universal…An object which indexes a family of arrows between two given objects in a universal way, meaning that any other indexed family of arrows between the same given pair of objects must factor uniquely through this universally-indexed family of arrows.
Meaning
1 sensesAn object which indexes a family of arrows between two given objects in a universal way, meaning that any other indexed family of arrows between the same given pair of objects must factor uniquely through this universally-indexed family of arrows.
An exponential object generalizes its interpretation in category #92;mathbf#123;Set#125;; namely, that of as a function set or internal hom-set.
Forms
plural: exponential objects| Singular | exponential object |
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| Plural | exponential objects |
regular
Word family
1 related wordsRelatedmodus ponens