PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

A friendly iteration forcing that the four cardinal characteristics of $\mathcal E$ can be pairwise different

Volume 173 / 2023

Miguel A. Cardona Colloquium Mathematicum 173 (2023), 123-157 MSC: Primary 03E17; Secondary 03E05, 03E35, 03E40. DOI: 10.4064/cm8917-2-2023 Published online: 11 April 2023


Let $\mathcal E$ be the $\sigma $-ideal generated by the closed measure zero sets of reals. We use an ultrafilter-extendable matrix iteration of ccc posets to force that, for $\mathcal E$, their associated cardinal characteristics (i.e. additivity, covering, uniformity, and cofinality) are pairwise different.


Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image