摘要

Let F be a continuous injective map from an open subset of to . Assume that, for infinitely many k a parts per thousand yen 1, F induces a bijection between the rational points of denominator k in the domain and those in the image (the denominator of (a (1)/b (1), . . . , a (n) /b (n) ) being the l.c.m. of b (1), . . . , b (n) ). Then F preserves the Lebesgue measure.

  • 出版日期2012-9