BOUNDED REMAINDER SETS ON A DOUBLE COVERING OF THE KLEIN BOTTLE

摘要

A shift S-tilde : K-tilde~2→ K-tilde~2 on the double covering of the Klein bottle K-tilde~2 = K-tilde~2 × {±1} is considered. This shift S-tilde generates a tiling K-tilde~2 = K-tilde_0~2(∪)K-tilde_1~2 by two bounded remainder sets K-tilde~2 and K-tilde~2 with respect to the shift S-tilde. Two-sided bounds for the deviation functions of these sets are proved. Bibliography: 16 titles.