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- W124718657 abstract "1. Infinitely fine partitions Throughout this paper (X ,A) always stands for a measurable space, i.e., X is an arbitrary set and A is an algebra of its subsets. By ∗X we denote the nonstandard extension of X . We assume that the nonstandard model is κ-saturated where κ is the cardinality of A. 1.1. Definition. A measurable partition P of ∗X is said to be an infinitely fine partition (abbreviated ifp) if ∗A = ⋃{p ∈ P | p ⊆ ∗A} for every measurable set A, or, equivalently, if P is finer than every standard partition." @default.
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- W124718657 title "Infinitely fine partitions of measures spaces" @default.
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