John Frederick Jardine or Rick Jardine is a homotopy theorist at the University of Western Ontario in London, Canada. His work on model category structures on simplicial presheaves is fundamental in the subject. His web pages have much course material in homotopy theory, sheaf theory and related subjects.
On simplicial homotopy theory:
On the simplicial approximation theorem:
On model structures on simplicial presheaves with an eye to application in motivic homotopy theory:
John F. Jardine, Simplical presheaves, Journal of Pure and Applied Algebra 47 1 (1987) 35-87 [doi:10.1016/0022-4049(87)90100-9]
John F. Jardine, Local homotopy theory, Springer Monographs in Mathematics (2015) [doi:10.1007/978-1-4939-2300-7]
with brief exposition in:
On nonabelian cohomology classifying principal infinity-bundles using model structures on simplicial presheaves:
Rick Jardine, Z. Luo: Higher order principal bundles, Mathematical Proceedings of the Cambridge Philosophical Society 140 2 (2006) 221-243 [doi:10.1017/S0305004105008911, web.archive:pdf]
J. F. Jardine: Cocycle categories, In: Baas N., Friedlander E., Jahren B., Østvær P. (eds) Algebraic Topology, Abel Symposia, vol 4. Springer 2009 (arXiv:math/0605198, doi:10.1007/978-3-642-01200-6_8)
On persistent homotopy theory:
J. F. Jardine, Persistent homotopy theory (2020) pdf, pdf
Rick Jardine, Thoughts on big data sets, talk at Homotopical Perspectives on TDA (2020)
Last revised on September 21, 2024 at 07:13:48. See the history of this page for a list of all contributions to it.