nLab4/18/2026

localization of a space

Urs Schreiber
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 The localization of a space (really: homotopy type, ∞-groupoid) or spectrum with respect to some prime numbers is a homotopical analogue of the notion of localization of a commutative ring (or...