This is a question on a self-study matter. Earlier, I stopped reading W. Rudin's book on "principles of mathematical analysis", at the chapter on Riemann integration. Now for certain other needs, I need to study Lebesgue integration; nothing too difficult; I would imagine the last chapter of this book would suffice without learning the whole difficult machinery as in Rudin's bigger book "Real and Complex Analysis". The purpose is to read a book on ergodic theory later.
Up to now I had read the book line by line, page by page, and right now I am on the chapter on sequences and series of functions. My question is, whether this topic is relevant to Lebesgue integration and if I can skip this. For the earlier chapters, I found that skipping something in between for a topic so basic as analysis is a bad idea and I would miss something. On the other hand, learning a chapter which on the surface has nothing to do with integration, gives a feeling of lack of motivation, and therefore there is less enthusiasm to study. If I can skip this chapter and the rest and go straight to the last chapter, I would perhaps be able to proceed faster, and with more interest.
So, please advice me from the viewpoint of more experienced people, whether I can safely skip the chapter on sequences and series without too much harm.