Path Lifting Lemma
if σ is a path starting at 1 in S1, then there exists unique σ’ starting at 0 in R st diagram commutes (p from R to S1)
homotopy lifting lemma
if τ is another path starting at 1 in S1 and σ - τ via homotopy F then σ’ - τ’ via a unique homotopy F’
lebesgue covering lemma