Beet Burgers and the Central Sets Theorem

Jebus! I can't get level 37 of THIS game. I got the first 36 levels (out of 40) each in a couple seconds to a minute or two. But I played level 37 for an embarassingly long period of time with no insight. By the time I figured out you can skip around the levels and still win as long as you come back to them, I was too broken in spirit to go on. I'll try again tomorrow.

I will make beet burgers tonight, take this week's long run in the morning, and play music with Josh tomorrow afternoon (cross your fingers). We had a really great time practicing together Wednesday night; we're trying to play out soon. We'll see what happens.

Call C ⊆ S central iff there is some minimal idempotent p ∈ βS with p ∈ C.

Central Sets Theorem: Let (S,+) be a commutative semigroup, let C be a central subset of S, let v∈N, and for each l∈{1,2,...,v}, let 〈y_l,n 〉^∞_n=1 be a sequence in S. There exist a sequence 〈_n 〉^∞_n=1 in S and a sequence 〈H_n 〉^∞_n=1 of finite nonempty subsets of N such that max H_n < min H_n+1 for each n∈N and such that for each ƒ:N→{1,2,...,v}, FS(〈a_n + ∑_t∈Hn y_ƒ(n),t 〉^∞_n=1) ⊆ C.



三ケ月はそるぞ寒は冴かへる
mikazuki wa soru zo samusa wa saekaeru

the sickle moon
bends, winter's cold
returns

-Issa, 1818