IN fractal geometry, two classes of sets play important roles. One is the regular set (the setHausdorff and packing dimension coincide), the other is the set whose Bouligand dimensionexists. A natural question is how ...IN fractal geometry, two classes of sets play important roles. One is the regular set (the setHausdorff and packing dimension coincide), the other is the set whose Bouligand dimensionexists. A natural question is how to measure 'the size' of these sets mentioned above. In thisnote, by using category, we answer this question. The main result is Theorem 1.展开更多
文摘IN fractal geometry, two classes of sets play important roles. One is the regular set (the setHausdorff and packing dimension coincide), the other is the set whose Bouligand dimensionexists. A natural question is how to measure 'the size' of these sets mentioned above. In thisnote, by using category, we answer this question. The main result is Theorem 1.
