EXPONENTIALS
EXPONENTIALS
This chapter focuses on another elementary universal structure, which is also an example of a universal that is not a limit. This important structure is called an ‘exponential’ and it can be thought of as a categorical notion of a ‘function space’. Topics discussed include exponential in a category, Cartesian closed categories, Heyting algebras, and equational definition. Exercises are provided in the last part of the chapter.
Keywords: exponential in a category, Cartesian closed categories, Heyting algebras, equational definition
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