Applications of outer measures to separation properties of lattices and regular or σ -smooth measures

Pao-Sheng Hsu

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-10

Abstract:

Associated with a 0 − 1 measure μ ∈ I ( ℒ ) where ℒ is a lattice of subsets of X are outer measures μ ′ and μ ˜ ; associated with a σ -smooth 0 − 1 measure μ ∈ I σ ( ℒ ) is an outer measure μ ″ or with μ ∈ I σ ( ℒ ′ ) , ℒ ′ being the complementary lattice, another outer measure μ ˜ ˜ . These outer measures and their associated measurable sets are used to establish separation properties on ℒ and regularity and σ -smoothness of μ . Separation properties between two lattices ℒ 1 and ℒ 2 , ℒ 1 ⫅ ℒ 2 , are similarly investigated. Notions of strongly σ -smooth and slightly regular measures are also used.

Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/19/364238.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/19/364238.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:364238

DOI: 10.1155/S016117129600035X

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().