BAIRE CATEGORY AND EXTREMELY NON-NORMAL POINTS OF INVARIANT SETS OF IFS'S

作者：Baek In Soo^*; Olsen Lars

来源：Discrete and Continuous Dynamical Systems, 2010, 27(3): 935-943.

DOI：10.3934/dcds.2010.27.935

• Self-similar sets
• normal points
• non-normal points
• Baire category
• Hausdorr dimension
• packing dimension

We prove that if K is the invariant set of an IFS in R(d) satisfying the Strong Open Set Condition, then the set of extremely non-normal points of K is a comeagre subset of K.

• 出版日期2010-7