[PDF] Top 20 Lattice normality and outer measures
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Lattice normality and outer measures
... The present work establishes various relationships between normality of lattices of subsets of X and certain "outer measures" induced by measures associ-.. ated with the algebras of subs[r] ... See full document
10
Lattice separation and measures
... certain lattice separation properties affect various measures defined on the algebra generated by the ...associated outer measures is assured on various ... See full document
9
On normal lattices and separation and semi separation of lattices
... For normal lattices we look at consequences of normality in terms of properties of their measures and closely allied set functions.For separation and semi-separation of two lattices,we i[r] ... See full document
8
Outer measures and associated lattice properties
... Zero-one measure characterizations of lattice properties such as normality are extended to more general measures.. For a given measure, we consider two associated "outer" measures and at[r] ... See full document
8
On Constructing Finite, Finitely Subadditive Outer Measures, and Submodularity
... subadditive outer measure defined for all subsets of ...subadditive outer measure ν defined by means of ν. The outer measure ν generalized results obtained by 3 for the case of a 0-1 valued, finitely ... See full document
13
Applications of outer measures to separation properties of lattices and regular or σ smooth measures
... In this paper, we show how these outer measures can be used systematically to establish separation properties between lattices, and also for establishing regularity of measures or the do[r] ... See full document
10
On finitely subadditive outer measures and modularity properties
... 1. Introduction. Let X be an arbitrary nonempty set and ν a finite, finitely subadditive outer measure on P (X) . ρ denotes the set function defined by ρ(E) = ν(X) − ν(E ) , E ⊂ X . We investigate conditions for ρ to ... See full document
14
On outer measures and semi separation of lattices
... 3 DEFINITIONS OF It’, It" AND THEIR BASIC PROPERTIES In this section we examine two set functions It", It’ that are related to a measure I.telL or Itlo*, L .First we look at at It" which[r] ... See full document
6
Outer measure analysis of topological lattice properties
... consequences of separation properties between the pair of lattices in terms of these outer measures, and further demonstrate the extension of smoothness conditions on 1 to 2 KEY WORDS AN[r] ... See full document
13
Lattice separation, coseparation and regular measures
... Outer measures associated with lattice measures, lattice separation and coseparation, weak regularity properties of measures.. 1991 AMS SUBJECT CLASSIFICATION CODE.[r] ... See full document
7
Outer measures and weak regularity of measures
... This paper investigates smoothness properties of probability measures on lattices which imply egularit.v, and then considers weaker versions of regularity; in particular, weakly regular,[r] ... See full document
10
Characterizations of outer measures associated with lattice measures
... 4. Case of a single lattice: comparing some set functions. Grassi, Knight, and Vlad looked into the effects of various conditions on outer measures. We combine these with additional new conditions. ... See full document
13
Outer measures, measurability, and lattice regular measures
... the interplay between the measurable sets associated with these outer measures, regularity properties of the measures, smoothness properties of the measures, and lattice topological prop[r] ... See full document
8
Outer measures associated with lattice measures and their application
... INTRODUCTION Our first aim in this paper is see Section 3 to obtain further properties of two outer measures it’ and it" see below for definitions associated first with it C I/; and it E[r] ... See full document
10
Topological properties of generalized Wallman spaces and lattice relations
... Generalized Wallman Spaces and their topological properties, lattice repleteness and completeness, zero-one valued measures, smoothness properties of measures.. 1991 AMS SUBJECT CLASSIFI[r] ... See full document
6
Outer measures and weak type estimates of Hardy Littlewood maximal operators
... of outer measures. The advantage of the use of outer measures over usual measures is that they could measure any subsets of a total space, even when they are ... See full document
13
Symmetries among Multivariate Information Measures Explored Using Möbius Operators
... diverse measures have been used in descriptions of order and dependence in complex systems and as data analysis tools ...information-related measures are of significant interest in several fields, there has ... See full document
30
On regular and sigma smooth two valued measures and lattice generated topologies
... To be specific let X be an abstract set, L a lattice of subsets of X.Let AL denote the algebra generated by the lattice L,and IL the collection of non-trivial zero-one valued fintely add[r] ... See full document
8
Beyond Complex Langevin Equations: positive representation of a class of complex measures
... Abstract. A positive representation for a set of complex densities is constructed. In particular, complex measures on a direct product of U(1) groups are studied. After iden- tifying general conditions which such ... See full document
8
Rates of convergence to normality
... of lattice r v ’s and those neither of lattice r v ’s nor satisfying ...for lattice rv’s hy Osipov (see Petrov [ 32] p.21l). As Fn (x) for a lattice rv has, in general, jumps of order a ... See full document
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