Space with Euler characteristic zero: Difference between revisions
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* [[Space with finitely generated homology]] | * [[Space with finitely generated homology]] | ||
* [[Space with finite | * [[Space with homology of finite type]] | ||
Revision as of 00:46, 27 October 2007
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)