Authors
Citation
J. Myjak et R. Rudnicki, Box and packing dimensions of typical compact sets, MONATS MATH, 131(3), 2000, pp. 223-226
Citations number
5
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255
→ ACNP
Volume
131
Issue
3
Year of publication
2000
Pages
223 - 226
Database
ISI
SICI code
0026-9255(2000)131:3<223:BAPDOT>2.0.ZU;2-W
Abstract
Let (X, rho) be a complete metric space and let dim A be the upper box dime
nsion of the set A subset of X. We show that packing dimension of the typic
al tin the sense of Baire category) compact set is at least inf{(dim) over
barB(x, r) : x is an element of X, r > 0). 2000 Mathematics Subject Classif
ication: 28A78; 26A21, 54E52.