## Set Theory of the Reals |

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### Contents

Strong measure zero sets | 13 |

Simple cardinal characteristics of the continuum | 63 |

Set theoretic aspects of nonabelian groups | 91 |

12 other sections not shown

### Common terms and phrases

antichain assume atomlessly-measurable cardinal Baire Baire property Boolean algebra Borel conjecture Borel set cardinal less cf(a choose Claim cofinal Cohen real compact consistent construction continuum Corollary countable chain condition countable set countable support iteration define definition dense element equivalent exists fact filter finite support iteration forcing notion Fremlin function Gross spaces Hausdorff Hence hypothesis ideal implies induction infinite interpolates K-additive Kunen Lebesgue measure Lemma limit ordinal Maharam type Martin's Axiom Math Mathematics maximal meager sets measure algebra measure space measure zero set open set P-name partially ordered set predense pregap Proposition prove random real real numbers real-valued-measurable cardinal regular cardinal regular uncountable cardinal relation Rothberger satisfies sequence set of reals set theory Shelah Souslin strong measure zero subset Suppose Theorem topology two-valued-measurable ultrafilter weakly witnessing probability