(also nonabelian homological algebra)
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
In a category of chain complexes , the suspension object of a chain complex is the complex
(or sometimes denoted , depending on an unessential choice of sign convention) obtained by shifting the degrees up by one:
with the differential the original one but equipped with a sign:
Generally, for , is the chain complex with
Last revised on November 23, 2013 at 21:09:41. See the history of this page for a list of all contributions to it.