nLab rational homology sphere

Contents

Context

Spheres

Homotopy theory

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

Contents

Idea

A rational homology sphere is a topological space which need not be homeomorphic to an n-sphere, but which has the same rational homology as an nn-sphere.

Properties

Corollary

Every homology sphere is a rational homology sphere.

Created on March 21, 2024 at 16:30:20. See the history of this page for a list of all contributions to it.