nLab
finite CW complex

Context

Topology

topology (point-set topology, point-free topology)

see also differential topology, algebraic topology, functional analysis and topological homotopy theory

Introduction

Basic concepts

Universal constructions

Extra stuff, structure, properties

Examples

Basic statements

Theorems

Analysis Theorems

topological homotopy theory

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

Definition

A finite CW-complex is a CW-complex which admits a presentation in which there are a finite number of attaching maps.

The homotopy type of a finite CW-complex is called a finite homotopy type.

Last revised on May 3, 2016 at 12:25:29. See the history of this page for a list of all contributions to it.