𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Packing Theorem and Packing Measure

✍ Scribed by Hermann Haase


Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
282 KB
Volume
146
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

For a VITALI class of a metric space (X, d) a packing measure is introduced following the ideas of [7]. The Packing Theorem of VITALI is a powerful mean to derive density results for measures [1, 2, 3]. Conversely, the notion of packing measure allows us to give sufficient conditions for a measure that the packing theorem of VITALI hods.


πŸ“œ SIMILAR VOLUMES


Exact packing measure of linear Cantor s
✍ De–Jun Feng πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 163 KB

Let K be the attractor of a linear iterated function system Sj x = ρjx + bj (j = 1, . . . , m) on the real line satisfying the open set condition (where the open set is an interval). It is well known that the packing dimension of K is equal to α, the unique positive solution y of the equation m j=1

Compactness Theorems for Geometric Packi
✍ Greg Martin πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 128 KB

## Moser asked whether the collection of rectangles of dimensions .., whose total area equals 1, can be packed into the unit square without overlap, and whether the collection of squares of side lengths 1 2 , 1 3 , 1 4 , ... can be packed without overlap into a rectangle of area p 2 /6 -1. Computa

Cutting and packing
✍ E.E. Bischoff; G. WΓ€scher πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 198 KB