für 44.10€ kaufen ··· 9783846528891 ··· 1036187208 ··· In founding set theory, Cantor showed that the cardinality of the set Q of rational numbers is countably infinite that Q may be extended by completion to obtain the set R of real numbers (we say that Q is countably dense in R) that any other countably dense subset of R is isomorphic to Q and that R itself is uncountably infinite. The question then naturally arises whether all uncountably dense subsets of R of the same cardinality must also be isomorphic. Decades later, a negative answer was given when a model of set theory was constructed in which many uncountably dense subsets of R fail to be isomorphic. On the other hand, Baumgartner has shown by the method of forcing that another model exists in which all dense subsets of R of the least uncountable cardinality are isomorphic. Presented here is a detailed yet expository account of Baumgartner`s famous result with a brief discussion of its relevance to forcing axioms in contemporary set theory. Hersteller: LAP Lambert Academic Publishing Marke: LAP Lambert Academic Publishing EAN: 9783846528891 Kat: Hardcover/Naturwissenschaften, Medizin, Informatik, Technik/Mathematik Lieferzeit: Sofort lieferbar Versandkosten: Ab 20¤ Versandkostenfrei in Deutschland Icon: https://www.inforius-bilder.de/bild/?I=6AQzivF0WkSyX%2BfOCLG%2BTOdtf9lPCxacpEpHOg8jP6g%3D Bild:
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