Statures of Noetherian spaces I: maximal order types of wpos

I have had a very gifted masters 2 student from mid-May to late July, Bastien Laboureix. He mostly solved the questions I had left open here. I wanted to report on his work, but that is a lot too technical for a blog. Instead, I will start a sequence of posts on the notion of stature of a Noetherian space. Since the notion is defined by analogy with a similar notion in the special case of well-partial-orderings, and coincides with something called maximal order types, I will spend this month’s post explaining the latter notion. Read the full post.