Space with Euler characteristic zero

This article defines a homotopy-invariant property of topological spaces, i.e. a property of homotopy classes of topological spaces

View other homotopy-invariant properties of topological spaces OR view all properties of topological spaces

Definition

A topological space is said to have zero Euler characteristic if it has finitely generated homology, and its Euler characteristic is zero.

Relation with other properties

Stronger properties

• Compact connected Lie group (nontrivial)

Weaker properties

• Space with finitely generated homology
• Space with finite homology type