I consider myself a pretty big fan of Bruce Lee. As such, I can say that the best documentary that I have seen so far that separates fact from fiction regarding theories related to his death is the season 2 episode of History's Greatest Mysteries. I don't have the whole episode on hand, but someone may have posted it downstairs. Here is the first 12 minutes on YouTube.
In the episode, it talks about the sweat glands thing and debunks it as a possible cause of death. Long story short, the armpits only contain 2 percent of all the sweat glands in your body, so removing them would have nowhere near a large enough effect on your body's ability to self-regulate its temperature to put you in any danger. If it did, then doctors would not perform the procedure.
Honestly, I recommend that whole History Channel series. It breaks down mysteries pretty well as far as fact/fiction goes.