nLab
locally finite cell complex

Contents

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

Contents

Idea

A cell complex (such as a CW-complex) is locally finite if every point/vertex is contained only in a finite number of cells.

References

  • Ross Geoghegan, Locally finite CW Complexes and Proper Homotopy, chapter 10 in: Topological methods in group theory, Graduate Texts in Mathematics 243, Springer 2008 (doi:10.1007/978-0-387-74614-2_10)

Created on March 21, 2021 at 03:55:52. See the history of this page for a list of all contributions to it.