Generalized Hausdorff measure for generic compact sets
نویسندگان
چکیده
منابع مشابه
On Intersections of Cantor Sets: Hausdorff Measure
We establish formulas for bounds on the Haudorff measure of the intersection of certain Cantor sets with their translates. As a consequence we obtain a formula for the Hausdorff dimensions of these intersections.
متن کاملHAUSDORFF MEASURE OF p-CANTOR SETS
In this paper we analyze Cantor type sets constructed by the removal of open intervals whose lengths are the terms of the p-sequence, {k−p}∞k=1. We prove that these Cantor sets are s-sets, by providing sharp estimates of their Hausdorff measure and dimension. Sets of similar structure arise when studying the set of extremal points of the boundaries of the so-called random stable zonotopes.
متن کاملHausdorff Dimension and Hausdorff Measure for Non-integer based Cantor-type Sets
We consider digits-deleted sets or Cantor-type sets with β-expansions. We calculate the Hausdorff dimension d of these sets and show that d is continuous with respect to β. The d-dimentional Hausdorff measure of these sets is finite and positive.
متن کاملThe Hausdorff Dimension of the Hyperspace of Compact Sets
Let (X; ) be a separable metric space and let (K(X); e ) denote the space of non-empty compact subsets of X with the Hausdor metric. The purpose of this paper is to investigate the relationship of the Hausdor dimension of a set E X to that of K(E) K(X).
متن کاملOn the Hausdorff Intuitionistic Fuzzy Metric on Compact Sets
In this paper, we give important properties as completeness, completion and precompactness of Hausdorff intuitionistic fuzzy metric spaces which is given by Gregori et al [13] and establish the precise relationship between the Hausdorff metric of a metric space (X, d) and the Hausdorff intuitionistic fuzzy metric of the standart intuitionistic fuzzy metric of d, and give two examples. AMS Subje...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2013
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2013.3835