# Topological space with trivial cup product

From Topospaces

*This property of topological spaces depends only on the cohomology ring viewed as a graded ring. In particular it is homotopy-invariant*

## Definition

A topological space is said to have '**trivial cup product** if for , the cup product between the and cohomology groups is trivial.

## Relation with other properties

### Stronger properties

## Metaproperties

A wedge sum of topological spaces, each with trivial cup product, continues to have trivial cup product.