Mass Problems and Measure-Theoretic Regularity
نویسندگان
چکیده
منابع مشابه
Mass problems and measure-theoretic regularity
A well known fact is that every Lebesgue measurable set is regular, i.e., it includes an Fσ set of the same measure. We analyze this fact from a metamathematical or foundational standpoint. We study a family of Muchnik degrees corresponding to measure-theoretic regularity at all levels of the effective Borel hierarchy. We prove some new results concerning Nies’s notion of LR-reducibility. We bu...
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ژورنال
عنوان ژورنال: The Bulletin of Symbolic Logic
سال: 2009
ISSN: 1079-8986,1943-5894
DOI: 10.2178/bsl/1255526079