- 39 名前：現代数学の系譜 雑談 古典ガロア理論も読む [2018/10/28(日) 21:24:50.73 ID:6dvusTGC.net]
- つづき
On p. 643, Norton proves the following result.
THEOREM: Let f:R --> R be discontinuous on a set of points
that is dense in R. Then there exists a co-meager
(i.e. residual) set B such that for all x in B
and for all s > 0, f fails to satisfy a pointwise
Holder condition of order (exponent) s at x.
NOTE: See also the comments I make in Heuer [15] and Nymann [16] above.
(引用終り)
