This paper reviews the global bifurcation theorem of J.Lopez-Gomez and C. Mora-Corral [18] and derives from it a global version of the local theorem of M. G. Crandall and P.H. Rabinovitz [5] on bifurcation from simple eigenvalues, as well as a refinement of the unilateral bifurcation theorem of [14, Chapter 6].
