Space with Euler characteristic zero

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

Stronger properties

 * Compact connected Lie group (nontrivial):
 * Odd-dimensional compact connected orientable manifold:

Weaker properties

 * Space with finitely generated homology
 * Space with homology of finite type