Outer measure analysis of topological lattice properties

Let X be a set and ℒ a lattice of subsets of X such that ∅, X∈ℒ. A(ℒ) is the algebra generated by ℒ, M(ℒ) the set of nontrivial, finite, normegative, finitely additive measures on A(ℒ) and I(ℒ) those elements of M(ℒ) which just assume the values zero and one. Various subsets of M(ℒ) and I(ℒ) are inc...

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Bibliographic Details
Main Author:	Setiawati Wibisono
Format:	Article
Language:	English
Published:	Hindawi Limited 1997-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	lattice measure associated outer measure regular outer measure weakly regular vaguely regular almost countably compact complement generated countably paracompact delta normal semi-separation separation coseparation.
Online Access:	http://dx.doi.org/10.1155/S0161171297000380

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spelling	doaj-c900c06c366b40d3ad01e7d664a53d862020-11-24T21:17:03ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120227929110.1155/S0161171297000380Outer measure analysis of topological lattice propertiesSetiawati Wibisono0Polytechnic University, Brooklyn 11201, New York, USALet X be a set and ℒ a lattice of subsets of X such that ∅, X∈ℒ. A(ℒ) is the algebra generated by ℒ, M(ℒ) the set of nontrivial, finite, normegative, finitely additive measures on A(ℒ) and I(ℒ) those elements of M(ℒ) which just assume the values zero and one. Various subsets of M(ℒ) and I(ℒ) are included which display smoothness and regularity properties.http://dx.doi.org/10.1155/S0161171297000380latticemeasureassociated outer measureregular outer measure weakly regularvaguely regularalmost countably compactcomplement generatedcountably paracompactdeltanormalsemi-separationseparationcoseparation.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Setiawati Wibisono
spellingShingle	Setiawati Wibisono Outer measure analysis of topological lattice properties International Journal of Mathematics and Mathematical Sciences lattice measure associated outer measure regular outer measure weakly regular vaguely regular almost countably compact complement generated countably paracompact delta normal semi-separation separation coseparation.
author_facet	Setiawati Wibisono
author_sort	Setiawati Wibisono
title	Outer measure analysis of topological lattice properties
title_short	Outer measure analysis of topological lattice properties
title_full	Outer measure analysis of topological lattice properties
title_fullStr	Outer measure analysis of topological lattice properties
title_full_unstemmed	Outer measure analysis of topological lattice properties
title_sort	outer measure analysis of topological lattice properties
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1997-01-01
description	Let X be a set and ℒ a lattice of subsets of X such that ∅, X∈ℒ. A(ℒ) is the algebra generated by ℒ, M(ℒ) the set of nontrivial, finite, normegative, finitely additive measures on A(ℒ) and I(ℒ) those elements of M(ℒ) which just assume the values zero and one. Various subsets of M(ℒ) and I(ℒ) are included which display smoothness and regularity properties.
topic	lattice measure associated outer measure regular outer measure weakly regular vaguely regular almost countably compact complement generated countably paracompact delta normal semi-separation separation coseparation.
url	http://dx.doi.org/10.1155/S0161171297000380
work_keys_str_mv	AT setiawatiwibisono outermeasureanalysisoftopologicallatticeproperties
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Outer measure analysis of topological lattice properties

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