Title
On Decomposable Measures Induced by Metrics.
Abstract
We prove that for a given normalized compact metric space it can induce a sigma-max-superdecomposable measure, by constructing a Hausdorff pseudometric on its power set. We also prove that the restriction of this set function to the algebra of all measurable sets is a sigma-max-decomposable measure. Finally we conclude this paper with two open problems.
Year
DOI
Venue
2012
10.1155/2012/701206
JOURNAL OF APPLIED MATHEMATICS
Field
DocType
Volume
Set function,σ-finite measure,Discrete mathematics,Pseudometric space,Measure (mathematics),Mathematical analysis,Regular measure,Outer measure,Hausdorff space,Hausdorff measure,Mathematics
Journal
2012
Issue
ISSN
Citations 
null
1110-757X
3
PageRank 
References 
Authors
0.40
2
2
Name
Order
Citations
PageRank
Dong Qiu1696.38
Weiquan Zhang2606.33