On cardinalities in quotients of inverse limits of groups

Rami Grossberg; Saharon Shelah

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arXiv · math/9911225

On cardinalities in quotients of inverse limits of groups

Rami Grossberg·Saharon Shelah

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Abstract

Let lambda be aleph_0 or a strong limit of cofinality aleph_0. Suppose that (G_m,p_{m,n}:m =< n G_n such that all the diagrams commute. If for every mu<lambda there exists (f_i in G_omega:i<mu) such that for distinct i,j we have: f_i f_j^{-1} notin h_omega(H_omega), then there exists (f_i in G_omega:i<2^lambda) such that for distinct i,j we have f_i f_j^{-1} notin h_omega(H_omega).

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BibTeX RIS

Rami Grossberg, Saharon Shelah. 1999-11-28. On cardinalities in quotients of inverse limits of groups. https://arxiv.org/abs/math/9911225

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