The covering number and the transitive covering number may be totally different

Author: Kraszewski, Jan

Source: Acta Mathematica Hungarica, Volume 105, Numbers 1-2, October 2004 , pp. 115-119(5)

Publisher: Springer

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Abstract:

We construct a translation invariant σ-ideal T(κ) (where κ is an infinite cardinal number) such that covt (T(κ)) = 2κ while cov (T(κ)) = cof (T(κ)) = ω1. The constructions can be carried out in R as well.

Keywords: Abelian groups; ideals; covering number; Hamel basis

Document Type: Research article

DOI: 10.1023/B:AMHU.0000045535.90334.dd

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