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(the category's three identity morphisms x, y and z, if explicitly represented, would appear as three arrows, from the letters x, y, and z to themselves, respectively.) category theory [ ] formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category , whose
category theory, morphisms obey conditions specific to category theory itself. samuel eilenberg and saunders mac lane introduced the concepts of categories, functors , and natural transformations in – in their study of algebraic topology , with the goal of understanding the processes that preserve mathematical...
https://en.wikipedia.org/wiki/Category_theory