Hong Zhang
Abstract
In this paper we introduced some conceptions in the Category Set(L),and researched the lattice-valued functional space in this category.Finally we found the lattice-valued functional space functor is a right adjoint for the lattice-valued product functor,in other words,Category Set(L) is Cartesian closed.
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In this paper we introduced some conceptions in the Category Set(L),and researched the lattice-valued functional space in this category.Finally we found the lattice-valued functional space functor is a right adjoint for the lattice-valued product functor,in other words,Category Set(L) is Cartesian closed.
Key concepts: Mathematics, Cartesian product, Cartesian closed category, Functor, Product category, Lattice (music), Concrete category, Pure mathematics