nLab linear subspace

Redirected from "linear subspaces".
Contents

Context

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

A linear subspace of an RR-module AA is a concrete subobject of AA in the category RMod{}_R Mod.

The stuff of a linear subspace of AA is a subset of |A||A|; it has the property of being closed under the module operations 00, + + and r r \cdot inherent in AA.

Last revised on April 4, 2023 at 08:54:19. See the history of this page for a list of all contributions to it.