منابع مشابه
Remarks on Μ′′-measurable Sets: Regularity, Σ -smoothness, and Measurability
Let X be an arbitrary nonempty set and a lattice of subsets of X such that φ, X∈ . ( ) is the algebra generated by and ( ) denotes those nonnegative, finite, finitely additive measures μ on ( ). I( ) denotes the subset of ( ) of nontrivial zeroone valued measures. Associated with μ ∈ I( ) (or Iσ ( )) are the outer measures μ′ and μ′′ considered in detail. In addition, measurability conditions a...
متن کاملSets on which measurable functions are determined by their range
We study sets on which measurable real-valued functions on a measurable space with negligibles are determined by their range.
متن کاملGeneralized Rings of Measurable and Continuous Functions
This paper is an attempt to generalize, simultaneously, the ring of real-valued continuous functions and the ring of real-valued measurable functions.
متن کاملSome Remarks on Real-valued Measurable Cardinals
We consider the set [u>]u and the cofinality of the set KX assuming that some cardinals are endowed in total measures. Introduction. A cardinal k is real-valued measurable if there exists a /ccomplete atomless probability measure on P(k), the set of all subsets of the cardinal /c. The status and the philosophy concerned e.g. real-valued measurable cardinals have been detailed and presented in a...
متن کاملPointwise Compact and Stable Sets of Measurable Functions
Introduction In a series of papers culminating in [Ta84], M.Talagrand, the second author and others investigated at length the properties and structure of pointwise compact sets of measurable functions. A number of problems, interesting in themselves and important for the theory of Pettis integration, were solved subject to various special axioms. It was left unclear just how far the special ax...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics
سال: 1966
ISSN: 0022-4340
DOI: 10.6028/jres.070b.006