# What is a generator of the de rham cohomology?

What is really meant with the word "generator" in Bott & Tu? How can a form "generate" a whole vector space of other forms?

• Same as in generators of a group, or generators of a module. Each de Rham cohomology group is a vector space over $\Bbb R$, after all. – Lord Shark the Unknown Aug 12 '18 at 15:11