Roger Godement (1 October, 1921 - July 21, 2016) was a French mathematician, specializing in functional analysis and especially harmonic analysis, and with later interests in number theory. He was an active member of Bourbaki in the early 1950s, and wrote an influential book on sheaf theory, Topologie Algébrique et Théorie des Faisceaux (1958), which contains a number of important category theoretic ideas, e.g., flasque resolution, comonad, and “five rules for functorial calculus” in which the notion of strict 2-category can be discerned.
Website (in French)
On algebraic topology, homological algebra and sheaf theory for abelian sheaf cohomology:
The appendix of that article (pp. 269) develops/introduces in passing (without naming most of them, all towards the goal of describing the “standard” resolutions of abelian sheaves) all of:
the structure of the 2-category of categories
(namely vertical composition, horizontal composition and whiskering of natural transformations)
bar construction for monads.
Last revised on August 18, 2023 at 14:54:10. See the history of this page for a list of all contributions to it.