Dual (category theory)
Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
High Quality Content by WIKIPEDIA articles! In category theory, a branch of mathematics, duality is a correspondence between properties of a category C and so-called dual properties of the opposite category Cop. Given a statement regarding the category C, by interchanging the source and target of each morphism as well as interchanging the order of composing two morphisms, a corresponding dual statement is obtained regarding the opposite category Cop. Duality, as such, is the assertion that truth is invariant under this operation on statements. In other words, if a statement is true about C, then its dual statement is true about Cop. Also, if a statement is false about C, then its dual has to be false about Cop. Данное...
ISBN: 978-6-1312-5849-7
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Дата выхода: июль 2011