… COMPATIBILITY IN LOGICS AND PRODUCT MEASURABILITY Tibor Neubrunn¹) It is shown
that under certain compatibility conditions some results on measurability of functions of two …

… 4, we consider a possible correction based on a strengthening of the measurability hypothesis,
… measurable on the continuum product space X. By extending the product measure on X, …

… The sum, difference, product, infimum, and supremum of two real-… two measurable sets
and f is a function defined ae on AU B. If f is measurable on A and on B, then it is measurable on …

… A new product measurability result for evolution equations with random inputs, when
there … is established using results on measurable selection theorems for measurable multifunctions. …

… treats selections with emphasis on their properties as subsets of a product space; this subject
is older than that of emphasizingfunction properties of selections, and our coverage here is …

… on K. We will show that K-concerned forcing over L[u] always destroys the measurability of
K… Towards this end, suppose § is K-concerned, S C § is L[u]-generic, but K is still measurable …

… The rest of the chapter is based on Kunen’s work on iterated … of Kunen and Silver on inner
models of measurability. Finally, … For any infinite cardinal κ, we consider a product measure for …

… We define a Borel measure if on Y by: ~f(E) = ~(fl(E)), for every Borel subset E of Y. Since
Y is metrizable, a theorem of Marczewski and Sikorski [9] shows that there exists a closed …

… that hn → h on X \A. We will see that if h is a strongly measurable function, then there
exists a sequence of nearly simple functions uniformly convergent to h outside of some A ∈ …

… measurability of analogously defined functions can be concluded by inspection, which touches
on … like π4 is meant to represent a projection from some product X ×Y ×Z ×W down to X ×…