Titlebook: Combinatorial Set Theory of C*-algebras; Ilijas Farah Book 2019 Springer Nature Switzerland AG 2019 C*-algebras.Calkin algebra.combinatori

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https://doi.org/10.1007/978-3-031-05737-3able set ., is replaced with ., the family of all separable substructures of a nonseparable metric structure .. The latter directed set is .-directed, but not concretely represented, and in some cases only the approximate versions of results studied in Chapter . hold. These approximate versions are

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Smart Metering Design and Applicationsve their relative consistency with .. We start with rather standard, brief, and self-contained treatments of the Continuum Hypothesis and Jensen’s . and use . to construct a Suslin tree. The .-complete directed systems of isomorphisms between separable substructures are studied in some detail. The a

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Kasun Weranga,Sisil Kumarawadu,D P Chandima structures. The interplay between separability of . (identified with the Cantor space) and countable saturation of . is used to construct several objects witnessing the incompactness of .,such as the independent families, almost disjoint families, and gaps in .. In the latter sections this Boolean

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Smart Metropolitan Regional Developmentalgebras (coronas of .-unital, non-unital C.-algebras, ultraproducts associated with a nonprincipal ultrafilter on ., and relative commutants of separable C.-subalgebras of countably degree-1 saturated C.-algebras) have this property. Countable degree-1 saturation subsumes several separation propert

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Smart Metropolitan Regional Developmentchet filter). The Fundamental Theorem of Ultraproducts (?o?’s Theorem) and the corresponding result for reduced products, Ghasemi’s Feferman–Vaught Theorem, are proved for arbitrary metric theories. These theorems are used to prove the countable saturation of ultraproducts associated with countably

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Combinatorial Set Theory of C*-algebras978-3-030-27093-3Series ISSN 1439-7382 Series E-ISSN 2196-9922