-fuzzy -algebras.
0-regularity varying function.
50 years sets with positive reach -- a survey.
(Annexe) Convergence en mesure des séries aléatoires vectorielles à multiplicateur borné
(n,2)-sets have full Hausdorff dimension.
We prove that a set containing translates of every 2-plane must have full Hausdorff dimension.
"Paradoxe" Zerlegung Euklidischer Räume.
-algèbres, probabilités non commutatives et applications
-convergence.
-porosity is separably determined
We prove a separable reduction theorem for -porosity of Suslin sets. In particular, if is a Suslin subset in a Banach space , then each separable subspace of can be enlarged to a separable subspace such that is -porous in if and only if is -porous in . Such a result is proved for several types of -porosity. The proof is done using the method of elementary submodels, hence the results can be combined with other separable reduction theorems. As an application we extend a theorem...
σ-ideals and related Baire systems
σ-ring and σ-algebra of Sets1
In this article, semiring and semialgebra of sets are formalized so as to construct a measure of a given set in the next step. Although a semiring of sets has already been formalized in [13], that is, strictly speaking, a definition of a quasi semiring of sets suggested in the last few decades [15]. We adopt a classical definition of a semiring of sets here to avoid such a confusion. Ring of sets and algebra of sets have been formalized as non empty preboolean set [23] and field of subsets [18],...
Абстрактное дезинтегрирование в пространствах Канторовича.
Абстрактное построение меры Лебега из меры Бореля
Аддитивные и полуаддитивные функции на булевых алгебрах.
Аппроксимационные и дифференциальные свойства измеримых множеств
Банаховы алгебры абсолютно непрерывных мер на прямой
Банаховы алгебры мер на прямой
Банаховы алгебры мер на прямой, связанные с асимптотическим поведением мер на бесконечности.
Варианты теоремы Радона-Никодима
Вещественные разбиения пространств с мерой.