1. Appendix to the paper by T. Łuczak—A simple proof of the lower
- Author
-
Shiojenn Tseng, Jyh-Ching Liang, Fend De-Jun, and Wu Jun
- Subjects
Combinatorics ,Number theory ,Intersection ,Simple (abstract algebra) ,General Mathematics ,Dimension (graph theory) ,Interval (graph theory) ,Disjoint sets ,Diophantine approximation ,Upper and lower bounds ,Mathematics - Abstract
In this note we point out that a simple proof of the lower bound of the sets (b, c), and so also of Ξ(b, c), defined in the previous paper [1] can be obtained as a simple application of a general method. By Example 4.6 from [2], if [0, 1] = E0⊃E1⊃ … are sets each of which is a finite union of disjoint closed intervals such that each interval of Ek−1, contains at least mk intervals of Ek which are separated by gaps of lengths at least ek, and if mk≥2 and ek≥ek+1>0, then the dimension of the intersection of Ek is at least
- Published
- 1997