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Titlebook: Applications of Point Set Theory in Real Analysis; A. B. Kharazishvili Book 1998 Springer Science+Business Media Dordrecht 1998 measure th

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Nonmeasurable sets and sets without the Baire property,In this section we consider some examples of nonmeasurable sets (with respect to various measures) and some examples of sets which do not have the Baire property (with respect to various topologies).
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Additive properties of invariant ,-ideals on the real line,This section of the book is closely connected with the previous one (but, of course, we do not use here the results presented in that section).
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Translations of sets and functions,Let . be a basic set (we assume, as a rule, that . is infinite) and let . be a group of transformations of .. As we know, in such a case, the pair (.) is called a space equipped with a transformation group. If . acts transitively in ., then . is called a homogeneous space (with respect to .).
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Set theory and ordinary differential equations,In this final section of the book we wish to consider some set-theoretical questions concerning the existence and uniqueness of solutions of ordinary differential equations.
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