Abstract:The study of the regularity properties in the real line is as old as the beginning of set theory at the end of the 19th century. These properties indicate well behavior for subsets of the real line, being the Lebesgue measurability, Baire measurability and perfect set properties the most prominent examples. In this work other regularity properties are explored, such as the Ramsey property, the doughnut property, the Marczewski measurability, the Miller measurability, the Laver measurability, among others. The … Show more
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