Universal in (< lambda)-stable abelian group
Saharon Shelah
Abstract
Open-access reader
Saharon Shelah
Abstract
Open-access reader
A characteristic result is that if 2^{aleph_0}< mu < mu^+< lambda = cf(lambda)< mu^{aleph_0}, then among the separable reduced p-groups of cardinality lambda which are (< lambda)-stable there is no universal one.
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A characteristic result is that if 2^{aleph_0}< mu < mu^+< lambda = cf(lambda)< mu^{aleph_0}, then among the separable reduced p-groups of cardinality lambda which are (< lambda)-stable there is no universal one.
Key concepts: Aleph, Lambda, Cardinality (data modeling), Abelian group, Separable space, Group (periodic table), Mathematics, Combinatorics