Strong Dichotomy of Cardinality
Copyright policy )Strong Dichotomy of Cardinality
A usual dichotomy is that in many cases, reasonably definable sets, satisfy the CH, i.e. if they are uncountable they have cardinality continuum. A strong dichotomy is when: if the cardinality is infinite it is continuum as in [Sh:273]. We are interested in such phenomena when lambda = aleph_0 is replaced by lambda regular uncountable and also by lambda = beth_omega or more generally by strong limit of cofinality aleph_0 .
- Hebrew University of Jerusalem Israel
- Rutgers, The State University of New Jersey United States
Ext-functor, \(p\)-rank, Mathematics - Logic, Extensions of abelian groups, FOS: Mathematics, Applications of set theory, strong limit, analytic equivalence relations, Torsion groups, primary groups and generalized primary groups, Logic (math.LO), Descriptive set theory, Abelian groups
Ext-functor, \(p\)-rank, Mathematics - Logic, Extensions of abelian groups, FOS: Mathematics, Applications of set theory, strong limit, analytic equivalence relations, Torsion groups, primary groups and generalized primary groups, Logic (math.LO), Descriptive set theory, Abelian groups
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