nLab Jeff Smith

• Wikipedia entry

• Mathematics Genealogy page

Selected writings

Introducing the nilpotence theorem in stable homotopy theory:

• Ethan Devinatz, Michael Hopkins, Jeffrey Smith, Nilpotence and Stable Homotopy Theory I, Annals of Mathematics Second Series, Vol. 128, No. 2 (Sep., 1988), pp. 207-241 (jstor:1971440)

• Ethan Devinatz, Michael Hopkins, Jeffrey Smith, Nilpotence and Stable Homotopy Theory II, Annals of Mathematics Second Series, Vol. 148, No. 1 (Jul., 1998), pp. 1-49 (jstor:120991)

On homotopy commutative diagrams:

• William Dwyer, Dan Kan, Jeff Smith, Homotopy commutative diagrams and their realizations, Journal of Pure and Applied Algebra 57 (1989) 5-24 (doi:10.1016/0022-4049(89)90023-6)

Introducing Delta-generated topological spaces:

• Jeff Smith, A really convenient category of topological spaces (unpublished and possibly non-existent, according to Dugger 03, p. 4)

After Jeff Smith presented his recognition theorem for combinatorial model categories at a conference in Barcelona, its first appearance in a publication is apparently

• Tibor Beke, Lemma 1.8 in: Sheafifiable homotopy model categories , Math. Proc. Cambr. Phil. Soc. 129 (2000), 447–475 (arXiv:math/0102087)

On generalized cup products:

• James E. McClure, Jeffrey H. Smith, Multivariable cochain operations and little $n$-cubes (arXiv:math/0106024v3)

On derived functors such as homotopy limit-functors on model categories and more general homotopical categories:

• William Dwyer, Philip Hirschhorn, Daniel Kan, Jeff Smith, Homotopy Limit Functors on Model Categories and Homotopical Categories, Mathematical Surveys and Monographs 113, AMS 2004 (ISBN: 978-1-4704-1340-8, pdf)

Related $n$Lab entries

Much of the theory of combinatorial model categories goes back to unpublished work by Jeff Smith: see for instance

• combinatorial model category

• Bousfield localization of model categories

Other contributions include:

• Delta-generated topological spaces

• symmetric spectra

• Hopkins-Smith nilpotence theorem

• left-determined model category

• theory of relative categories, including homotopy limit and colimit functors

category: people