nLab
higher linear algebra

Context

Higher linear 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

Contents

Idea

The higher algebra refinement of ordinary linear algebra:

for ECRing E \in CRing_\infty an E-∞ ring, higher linear algebra over EE is the study of the tensor (∞,1)-category EModE Mod of ∞-modules over EE.

Last revised on August 29, 2013 at 22:46:01. See the history of this page for a list of all contributions to it.