Hi all, I am currently in my last year of undergrad doing a dissertation relating to measure theoretic probability theory and am quite lost as to what should I include.  I have an outline and that’s fine but how does one make it an interesting read.

My supervisor has said now that I have all the maths essentially done, it is now a communications exercise.  But I do not know how to make it engaging to a reader.  I am super excited about it but there is so much theory dumping to be done before I get to the cool new stuff.  The main theorem I am proving requires several chapter of work because I am to assume that the person reading is any mathematician or computer scientist so it is a broad audience.  So I need to build up measure theory in an interesting way but also quickly and thoroughly.