Title: Generalized Euler classes, differential forms and commutative DGAs,
Abstract: In the context of commutative differential graded algebras over $\mathbb Q$,
we show that an iteration of "odd spherical fibration" creates a "total space"
commutative differential graded algebra with only odd degree cohomology. Then
we show for such a commutative differential graded algebra that, for any of its
"fibrations" with "fiber" of finite cohomological dimension, the induced map on
cohomology is injective.