Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-12-01T00:40:43.563Z Has data issue: false hasContentIssue false
  • English
  • Français

CONCERNING THE PROBLEM OF SUBSETS OF FINITE POSITIVE PACKING MEASURE

Published online by Cambridge University Press:  01 December 1997

H. JOYCE
H. JOYCE
Affiliation:
Department of Mathematics, University of Jyväskylä, PL-35 Jyväskylä10 40351, Finland
Get access

Abstract

For every Hausdorff function h, the paper gives a construction of a compact metric space of infinite diameter-based h-packing measure which has no subsets of positive finite measure. It then indicates how such a construction can be modified to provide the same result for a radius-based packing measure in the case of certain Hausdorff functions which do not satisfy a doubling condition. This is in surprising contrast to another result which shows that for a particular radius-based definition of packing measure no such example can be found.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 56 , Issue 3 , December 1997 , pp. 557 - 566
Copyright
The London Mathematical Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)