Add to ORKGAbstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that ∅, X ∈ . Let () denote the algebra generated by and I() denote those nontrivial, zero-one valued, finitely additive measures on (). In this paper, we discuss some of the normal characterizations of lattices in terms of the associated lattice regular measures, filters and outer measures. We consider the interplay between normal lattices, regularity or σ-smoothness properties of measures, lattice topological properties and filter corre-spondence. Finally, we start a study of slightly, mildly and strongly normal lattices and express then some of these results in terms of the generalized Wallman spaces. 2000 Mathematics Subject Classification. 28A12, 28C15. 1...
Abstract. In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with∅, X∈,...
Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-o...
Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-o...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that ∅, X ∈ . Let (...
In this paper we will investigate the properties of normality lattices and their relationships to ze...
Let X be an arbitrary non-empty set, and ℒ a lattice of subsets of X such that ∅, X∈ℒ. (ℒ) denotes t...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
Let X be an arbitrary set and ℒ a lattice of subsets of X such that ϕ,X∈ℒ.(ℒ) is the algebra genera...
Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Altern...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
1989) ABSTRACT. Various equivalent characterizations of normality are considered and a measure theor...
1989) ABSTRACT. Various equivalent characterizations of normality are considered and a measure theor...
ABSTRACT. Let X be a set and E a lattice of subsets ofX such that 0, X E. 4(E) is the algebra genera...
Abstract. In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with∅, X∈,...
Abstract. In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with∅, X∈,...
Abstract. In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with∅, X∈,...
Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-o...
Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-o...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that ∅, X ∈ . Let (...
In this paper we will investigate the properties of normality lattices and their relationships to ze...
Let X be an arbitrary non-empty set, and ℒ a lattice of subsets of X such that ∅, X∈ℒ. (ℒ) denotes t...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
Let X be an arbitrary set and ℒ a lattice of subsets of X such that ϕ,X∈ℒ.(ℒ) is the algebra genera...
Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Altern...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
1989) ABSTRACT. Various equivalent characterizations of normality are considered and a measure theor...
1989) ABSTRACT. Various equivalent characterizations of normality are considered and a measure theor...
ABSTRACT. Let X be a set and E a lattice of subsets ofX such that 0, X E. 4(E) is the algebra genera...
Abstract. In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with∅, X∈,...
Abstract. In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with∅, X∈,...
Abstract. In this paper, X denotes an arbitrary nonempty set, a lattice of subsets of X with∅, X∈,...
Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-o...
Let X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-o...