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I am confused with a notation for the minimality of Sullivan model.

In particular in some books it's written that $d(V)\subset \bigwedge^{\geq2}V$ and in others it's written that $Im(d)\subset \bigwedge^+V.\bigwedge^+V$.

Is there a difference?

Also is it true that $\bigwedge^kV^p=(\bigwedge V^p)^k$ for some $k,p$ positive integers.?

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