[PDF] Top 20 Regular measures and normal lattices
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Regular measures and normal lattices
... If 2_ is a normal lattice, then in previous papers consequences pertaining to I2,-the set of non-trivial finitely additive zero-one valued measures on .A2,, the algebra generated by 2.. [r] ... See full document
5
Normal characterizations of lattices
... of lattices in the point-set framework; most of this material can be readily extended to general ...lattice regular mea- sures; in the case of zero-one valued lattice regular measures, these ... See full document
10
Measure characterizations and properties of normal and regular lattices
... Lattice, zero-one measures, slgma-smooth, normal, regular, Hausdorff, prlme complete, strongly normal, fitter, disjunctive.. ]980 &MS SUBJECT CLASSIFICATION CODE.[r] ... See full document
8
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 Alexandrov lattices
... By an Alexandrov lattice we mean a $ normal lattice of subsets of an abstract set x, such that the set of/.-regular countably additive bounded measures is sequentially closed in the set [r] ... See full document
11
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
On measure repleteness and support for lattice regular measures
... lattices and obtain new conditions for measure compactness, Borel measure compactness, and clopen measure repleteness and similar facts for strongly measure compactness,.. strongly Borel[r] ... See full document
18
Induced measures on Wallman spaces
... Lattice regular measure, Wallman space and remainder, replete and measure replete lattices, o-smooth, x-smooth and tight measures.. 1980 AMS SUBJECT CLASSIFICATION CODE.[r] ... See full document
16
Measures on coallocation and normal lattices
... is a subset of 2" We show that suppose 2 coallocates I and any ,-regular finitely additive measure on the algebra generated be uniquely extended to an.. The case when.[r] ... See full document
18
Some topologies on the set of lattice regular measures
... Consider any topological space X such that X is T1, locally compact, normal, and .9" is strongly measure replete, and let f -.9".. Then for every subset of M/Ro,.7",A, ifA is w’compact, [r] ... See full document
15
On Lindelöf lattices and separation
... LindelSf lattice, 0-1 valued measures, disjunctive lattice, countably compact, normal lattice, prime complete, premeasure, delta lattice, replete, regular, slightly normal, I-lattice.. 1[r] ... See full document
5
Special measures and repleteness
... Replete and measure replete lattices, Lattice regular measure, Wallman space and remainder, o-smooth, x-smooth and tight measures, purely finitely additive measures, purely o-additive me[r] ... See full document
10
Weak regularity of probability measures
... This paper examines smoothness attributes of probability measures on lattices which indicate regularity, and then discusses weaker forms of regularity; specifically, weakly regular and v[r] ... See full document
6
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
Normal lattices and coseparation of lattices
... We XE then develop new equivalent conditions in terms of set functions associated with/z E I, the set of all noa-trval, zero-one valucl tely addittre measures on ttie a/geOra generated-6[r] ... See full document
7
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
On maximal measures with respect to a lattice
... Szeto has considered see [2] the relationship between measures that are maximal with respect to a lattice and lattice regular measures in the case of normal and arbitrary lattices of sub[r] ... See full document
6
Discrete Gaussian Measures and New Bounds of the Smoothing Parameter for Lattices
... In this paper, we start with a discussion of discrete Gaussian measures on lattices. Several results of Banaszczyk are analyzed, different approaches are suggested. In the second part of the paper we prove ... See full document
14
S REGULAR SPACES AND S NORMAL SPACES IN TOPOLOGY
... Definition 3.1 : A topological space X is said to be s-regular if for each -closed set F of X and each point x in X - F, there exist disjoint s-open sets U and V such that x U and F V. Clearly, every ... See full document
11
On separation of lattices
... Separation properties of a lattice of subsets of an arbitrary set or separation properties between a pair of such lattices have strong implications on the associated lattice regular meas[r] ... See full document
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