Chapter 2 Plan

My recent plan is to make a notes set on Cheeger-Colding theory(CC theory). The schudle is about 10 Section long. I have yet no idea what to make in fact, but lets try some at least.

2.1 Topic

I will list some topic in my mind at least for now, and they may be changing very fast.

  1. Prelim and Gromov precompactness
  2. splitting function and GH close
  3. Conical splitting and volume pinching
  4. Almost rigidity theorems (volume stability)
  5. limiting space and size of singularity set
  6. The Reifenberg theorem

And some work in more advanced topic

  1. L2 conjecture
  2. codim 4 conjecture

TBC…

2024.12.03