This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are also defined so as to extend the concepts of homomorphism and biequivalence for bicategories.
Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretica…
Coherence of tricategories
by Street, Ross, Power, A. J., Gordon, R.
fromMemoirs of the American Mathematical Society
Categories in algebra, geometry, and mathematical physics: conference and workshop in honor of Ross Street's…
by Street, Ross, Conference Categories in Algebra, Geometry and Mathematical Physics, Macquarie University, Sidney, Australia), Workshop on Categorical Methods in Algebra, Geometry and Mathematical Physics, Australian National University, Canberra, Australia)