nLab John W. Gray

John Walker Gray (1932? – 2017) was a category theorist known for work in, among other areas, 2-category theory.

• website

Selected writings

On (co-)fibered categories:

• John W. Gray, Fibred and Cofibred Categories, in: S. Eilenberg, D. K. Harrison, S. MacLane, H. Röhrl (eds.): Proceedings of the Conference on Categorical Algebra - La Jolla 1965, Springer (1966) [doi:10.1007/978-3-642-99902-4]

On category theory formulated “formally” in the 2-category Cat of all categories:

• John Gray, Formal category theory: adjointness for 2-categories, Lecture Notes in Mathematics 391 Springer (1974) [doi:10.1007/BFb0061280]

Early discussion of adjunctions of two variables under the name “THC-situation”:

• John Gray, Closed categories, lax limits and homotopy limits. J. Pure Appl. Algebra 19 (1980) 127 - 158 [doi:10.1016/0022-4049(80)90098-5]

Related entries

• Gray tensor product

• Gray category

category: people