Exponential object

In mathematics, specifically in category theory, an exponential object is the categorical equivalent of a function space in set theory. Categories with all finite products and exponential objects are called cartesian closed categories. An exponential object may also be called a power object or map object (but note that the term "power object" means something different in topos theory, analogous to "power set"; see power set for a simplified explanation).

单词	Exponential object
释义	Exponential object 英语百科 Exponential object In mathematics, specifically in category theory, an exponential object is the categorical equivalent of a function space in set theory. Categories with all finite products and exponential objects are called cartesian closed categories. An exponential object may also be called a power object or map object (but note that the term "power object" means something different in topos theory, analogous to "power set"; see power set for a simplified explanation).
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