  The Steenrod problem for closed orientable manifolds was solved completely by
Thom. Following this approach, we solve the Steenrod problem for closed
orientable orbifolds, proving that the rational homology groups of a closed
orientable orbifold have a basis consisting of classes represented by
suborbifolds whose normal bundles have fiberwise trivial isotropy action.
  Polyfold theory, as developed by Hofer, Wysocki, and Zehnder, has yielded a
well-defined Gromov-Witten invariant via the regularization of moduli spaces.
As an application, we demonstrate that the polyfold Gromov-Witten invariants,
originally defined via branched integrals, may equivalently be defined as
intersection numbers against a basis of representing suborbifolds.
