Forcing Isomorphisms Between Dense Sets of Reals

Name: Forcing Isomorphisms Between Dense Sets of Reals
Brand: LAP Lambert Academic Publishing
SKU: 9783846528891
Price: 1027 CZK
Availability: InStock

A Classic Result of Modern Set Theory

Autor: Michael H. Vartanian

Jazyk:

Vazba: Brožovaná

Vydavatel: LAP Lambert Academic Publishing

Dostupnost: Skladem u dodavatele

Odesíláme za 8-11 dnů

1 027 Kč

In founding set theory, Cantor showed that the cardinality of the set Q of rational numbers is count...

Informace o knize

Autor

Michael H. Vartanian

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2011

Stránek

EAN

9783846528891

Enbook ID

07137619

Vydavatel

LAP Lambert Academic Publishing

Hmotnost

100

Rozměry

150 x 220 x 3

Kompletní popis

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.

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Forcing Isomorphisms Between Dense Sets of Reals

A Classic Result of Modern Set Theory

Informace o knize

Kompletní popis

Mohlo by vás zajímat

Zákaznicí kteří koupili tuto knihu koupili také