homotopy theory, (∞,1)-category theory, homotopy type theory
flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed…
models: topological, simplicial, localic, …
see also algebraic topology
Introductions
Definitions
Paths and cylinders
Homotopy groups
Basic facts
Theorems
-homotopy theory is the study of the localization of an (∞,1)-sheaf (∞,1)-category over a site of analytic spaces at morphisms , where is the Tate ball.
Joseph Ayoub, Motives of rigid varieties and
the motivic nearby functor_, talk notes 2006 (pdf)
Joseph Ayoub, Motifs des variétés analytiques rigides (pdf)
Joseph Ayoub, Floian Ivorra and Julien Sebag, Motives of rigid analytic tubes and nearby motivic sheaves (pdf)
Last revised on June 11, 2014 at 07:12:11. See the history of this page for a list of all contributions to it.