Hi, Everyone: LetB: E-->X be a line bundle, with scructure group G and X has a CW -decomposition. I am trying to understand why/how, if the structure group G of B is connected, then any trivialization over the 0-skeleton of X can be extended to a trivialization of the 1-skeleton. I understand that for every k-cell f:D^k --.X (D^k is the k-disk) , the pullback bundle is trivial (by contractibility of D^k), but I don't see how/why the connectedness of G alllows us to extend a given trivialization from the 0-skeleton to the 1-skeleton. There is also a mention of a canonical trivialization over the cells. Anyone know what that is.? Thanks.