0484現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE
2017/11/22(水) 19:20:14.29ID:mEHYOxL23)
最後に[(成書)The Mathematics of Coordinated Inference: A Study of Generalized Hat Problems]より
(抜粋)
P76
7.3 Corollaries
The second result we derive concerns the extent to which "the present can be predicted based on the past."
Here, the exact characterization of the error sets occurs in Theorems 3.1 and 3.5 in [HT08b].
The derivation of this uses the topology on R in which the basic open sets are half-open intervals (w; x] (so f 〜x g if f and g agree on (w, x) for some w < x).
It is known that the scattered sets here are countable and nowhere dense.
The exact characterization of the error sets in this example (as scattered sets) was absent in [HT08b].
<まとめ3>
Taylor氏らは、[HT08b] の結論を否定している。([HT09]に同じ)
つづく