Regular CW-space

This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces

Definition

Symbol-free definition

A topological space is termed a regular CW-space if it can be given a regular CW-complex structure, viz a CW-complex structure where all the attaching maps are homeomorphisms.

Relation with other properties

Stronger properties

• Manifold
• Polyhedron

Weaker properties

• CW-space