Andere Kunden interessierten sich auch für
![Homological properties of semigroups S and dense injectivity of S-acts]( "Homological properties of semigroups S and dense injectivity of S-acts")
Homological properties of semigroups S and dense injectivity of S-acts36,99 €![Preconditioning Dense Complex Linear Systems from a VIM Discretization]( "Preconditioning Dense Complex Linear Systems from a VIM Discretization")
Preconditioning Dense Complex Linear Systems from a VIM Discretization32,99 €![Topics In Majorization, Dense Matrices And Their Linear Preservers]( "Topics In Majorization, Dense Matrices And Their Linear Preservers")
Topics In Majorization, Dense Matrices And Their Linear Preservers26,99 €![The Resolvableness in ideal topological space]( "The Resolvableness in ideal topological space")
The Resolvableness in ideal topological space17,99 €![The Souslin Problem]( "The Souslin Problem")
The Souslin Problem21,99 €![Ring Theory]( "Ring Theory")
Ring Theory66,99 €![Dense Sphere Packings]( "Dense Sphere Packings")
Dense Sphere Packings70,99 €
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.