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
(see also Chern-Weil theory, parameterized homotopy theory)
Parameterized (stable) homotopy theory is (stable) homotopy theory of bundles of homotopy types/stable homotopy types over a given base space.
For formalizations see at
A comprehensive textbook account on parameterized spectra in ∞Grpd Top is in
A formulation of aspects of this in (∞,1)-category theory is in
Discussion of convenient model category presentations:
Last revised on August 31, 2020 at 04:17:46. See the history of this page for a list of all contributions to it.