- #1

polology

- 7

- 0

1. Why if the homology group is trivial i can take $d\lambda_{ab}$ so that $v_a=v_b$, without speaking of bundles?

On the other hand, in the language of bundles, if the manifold is globally trivializable (so admits a global section) the connection could be described by 1-form globally defined.

2. Why if the first homology group is trivial then the manifold is globally trivializable?