- What are some typical applications of the theory for measures on infinite product spaces?
- Are there any applications that you think are particularly interesting - that make the study of this worthwhile beyond finite products, Fubini-Tonelli.
- Are there theorems that require, or are equivalent to, certain choice principles (AC, PIT, etc)? (similar to Tychonoff in topology)
Sorry for being so vague, I am just trying to get a feel for this new area before diving head-first into the technical details.