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
This page compiles pointers related to:
Homotopy Types
in:
Ioan M. James (ed):
Handbook of Algebraic Topology
Oxford 1995
on homotopy theory with focus on the notion of homotopy types.
It starts from a basic position and attacks three main topics:
Homotopy types with non-trivial fundamental group (Sections 2 - 5);
Homotopy types with trivial fundamental group (Sections 6 - 9, 12);
stable homotopy types (Sections 10 and 11).
Last revised on January 2, 2023 at 15:11:27. See the history of this page for a list of all contributions to it.