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Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.

Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.

This monograph presents a new model of mathematical structures called weak n-categories. These structures find their motivation in a wide range of fields, from

This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are

Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — re