Add to ORKGLet X be an arbitrary set and L a lattice of subsets of X. We denote by I(L) the set of those zero-one-valued nontrivial, finitely additive measures on A(L), the algebra generated by L, and we introduce other subsets of I(L). We study compactness/normality properties either relating to a single lattice L or relating to a pair of lattices L1 ⊂ L2 of subsets of X. 1
Outer and inner measures of a measure μ are defined and used to prove results involving them on a la...
Abstract. Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, t...
Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, take a coll...
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 (...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that ∅, X ∈ . Let (...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
ABSTRACT. Let X be a set and E a lattice of subsets ofX such that 0, X E. 4(E) is the algebra genera...
Let be an arbitrary nonempty set and a lattice of subsets of such that ∅, X∈L. () denotes the alg...
Let X be an arbitrary set and ℒ a lattice of subsets of X such that ϕ,X∈ℒ.(ℒ) is the algebra genera...
Let X be an arbitrary non-empty set, and ℒ a lattice of subsets of X such that ∅, X∈ℒ. (ℒ) denotes t...
Suppose that A is a uniform algebra on a compact set X and that ϕ: A → C is a nonzero multiplicative...
Zero-one measure characterizations of lattice properties such as normality are extended to more gene...
Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Altern...
Outer and inner measures of a measure μ are defined and used to prove results involving them on a la...
Abstract. Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, t...
Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, take a coll...
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 (...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that ∅, X ∈ . Let (...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
ABSTRACT. Let X be a set and E a lattice of subsets ofX such that 0, X E. 4(E) is the algebra genera...
Let be an arbitrary nonempty set and a lattice of subsets of such that ∅, X∈L. () denotes the alg...
Let X be an arbitrary set and ℒ a lattice of subsets of X such that ϕ,X∈ℒ.(ℒ) is the algebra genera...
Let X be an arbitrary non-empty set, and ℒ a lattice of subsets of X such that ∅, X∈ℒ. (ℒ) denotes t...
Suppose that A is a uniform algebra on a compact set X and that ϕ: A → C is a nonzero multiplicative...
Zero-one measure characterizations of lattice properties such as normality are extended to more gene...
Outer measures are used to obtain measures that are maximal with respect to a normal lattice. Altern...
Outer and inner measures of a measure μ are defined and used to prove results involving them on a la...
Abstract. Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, t...
Let ν be a finite countably subadditive outer measure defined on all subsets of a set X, take a coll...