Lacunary convergence of series in L0 revisited.
A simpler proof is given for the recent result of I. Labuda and the author that a series in the space L0 (lambda) is subseries convergent if each of its lacunary subseries converges.
Les fonctions affines sur ayant la propriété de Baire faible sont continues
Les fonctions qui ont la propriété (K) et la mesurabilité des fonctions de deux variables
Limites médiales d'après Mokobodzki
Lusin's Theorem in an Abstract Space
Lusin-type Theorems for Cheeger Derivatives on Metric Measure Spaces
A theorem of Lusin states that every Borel function onRis equal almost everywhere to the derivative of a continuous function. This result was later generalized to Rn in works of Alberti and Moonens-Pfeffer. In this note, we prove direct analogs of these results on a large class of metric measure spaces, those with doubling measures and Poincaré inequalities, which admit a form of differentiation by a famous theorem of Cheeger.
Marczewski sets, measure and the Baire property
Marczewski-Burstin-like characterizations of σ-algebras, ideals, and measurable functions
ℒ denotes the Lebesgue measurable subsets of ℝ and denotes the sets of Lebesgue measure 0. In 1914 Burstin showed that a set M ⊆ ℝ belongs to ℒ if and only if every perfect P ∈ ℒ$ℒ0 which is a subset of or misses M (a similar statement omitting “is a subset of or” characterizes ). In 1935, Marczewski used similar language to define the σ-algebra (s) which we now call the “Marczewski measurable sets” and the σ-ideal which we call the “Marczewski null sets”. M ∈ (s) if every perfect set P has...
Measurability of equivalence classes and MEC-property in metric spaces.
Measurability of Functions of Two Variables
Measurability of functions with approximately continuous vertical sections and measurable horizontal sections
Measurability of functions with values in partially ordered spaces
Measurability of multifunctions of two variables [Book]
Measurability of real functions defined on the product of metric spaces
Measurable Functions and Almost Continuous Functions.
Measurable relations
Measurable Selection Theorems for Optimization Problems.
Measurable solutions of functional equations satisfied almost everywhere.
Measurable uniform spaces
Measure and measurable functions of