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
equivalences in/of $(\infty,1)$-categories
The homotopy category of an (∞,1)-category of ∞Grpd. equivalent to Ho(Top). Obtained as the localization of sSet at the weak homotopy equivalences. This is the classical homotopy category.
A monoid object in $Ho(\infty Grpd)$ is an H-monoid.
A group object in $Ho(\infty Grpd)$ is an H-group.
Last revised on November 26, 2012 at 17:21:31. See the history of this page for a list of all contributions to it.