Im working with the splitting lemma right now and I don't understand it too much. If someone has that book and could help me complete the sketch in page 177, proof of 1.18) I would be very grateful.
the book can be found here also http://books.google.se/books?id=t6N_tOQhafoC&printsec=frontcover&hl=sv&source=gbs_atb#v=onepage&q&f=false