So, I'm a little confused about one statement made in class today :
If M is a smooth manifold without boundary such that the tangent bundle of M is trivial, then M is orientable.
Is this always true ?
So, I'm a little confused about one statement made in class today :
If M is a smooth manifold without boundary such that the tangent bundle of M is trivial, then M is orientable.
Is this always true ?