© 2017, Springer International Publishing AG. Measurable sets are defined as those locally approximable, in a certain sense, by sets in the given algebra (or ring). A corresponding measure extension theorem is proved. It is also shown that a set is locally approximable in the mentioned sense if and only if it is Carathéodory-measurable
A Carathèodory type extension theorem is proved for sigma-additive exhaustive modular measures on si...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
Abstract. The present article returns to the new foundations of mea-sure and integration due to the ...
Measurable sets are defined as those locally approximable, in a certain sense, by sets in the given ...
Thesis (Ph.D.)--University of Washington, 2014In this thesis we develop the theory of Local Set Appr...
AbstractWe consider axioms asserting that Lebesgue measure on the real line may be extended to measu...
In measure theory we are introduced to the Carathéodory definition of measurability without much mot...
In our previous article [22], we showed complete additivity as a condition for extension of a measur...
Given an o-minimal structure M which expands a field, we define, for each positive integer d, a real...
We establish a necessary and suficient condition for a function defined on a subset of an algebra of...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
summary:A variant of Alexandrov theorem is proved stating that a compact, subadditive $D$-poset valu...
AbstractThis paper concerns the use of measurable selection techniques to obtain some measurable ext...
We prove that each semialgebraic subset of R^n of positive codimension can be locally approximated...
Measures and measurable functions are used primarily as tools for carrying out various calculations ...
A Carathèodory type extension theorem is proved for sigma-additive exhaustive modular measures on si...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
Abstract. The present article returns to the new foundations of mea-sure and integration due to the ...
Measurable sets are defined as those locally approximable, in a certain sense, by sets in the given ...
Thesis (Ph.D.)--University of Washington, 2014In this thesis we develop the theory of Local Set Appr...
AbstractWe consider axioms asserting that Lebesgue measure on the real line may be extended to measu...
In measure theory we are introduced to the Carathéodory definition of measurability without much mot...
In our previous article [22], we showed complete additivity as a condition for extension of a measur...
Given an o-minimal structure M which expands a field, we define, for each positive integer d, a real...
We establish a necessary and suficient condition for a function defined on a subset of an algebra of...
AbstractThe theme of this paper is the extension of continuous valuations on the lattice of open set...
summary:A variant of Alexandrov theorem is proved stating that a compact, subadditive $D$-poset valu...
AbstractThis paper concerns the use of measurable selection techniques to obtain some measurable ext...
We prove that each semialgebraic subset of R^n of positive codimension can be locally approximated...
Measures and measurable functions are used primarily as tools for carrying out various calculations ...
A Carathèodory type extension theorem is proved for sigma-additive exhaustive modular measures on si...
Abstract. Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈. () is t...
Abstract. The present article returns to the new foundations of mea-sure and integration due to the ...
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