quaternionic projective line$\,\mathbb{H}P^1$
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
A rational homotopy sphere is a topological space which need not be homeomorphic to an n-sphere, but which has the same rational homotopy type as an $n$-sphere, hence whose rationalization is weakly homotopy equivalent to a rational n-sphere.
Every homotopy sphere is a rational homotopy sphere.
Last revised on March 21, 2024 at 16:30:27. See the history of this page for a list of all contributions to it.