Cichoń's diagram and localisation cardinals.

Arch Math Log

Institute of Discrete Mathematics and Geometry, TU Wien, Wiedner Hauptstraße 8-10/104, 1040 Wien, Austria.

Published: September 2020

We reimplement the creature forcing construction used by Fischer et al. (Arch Math Log 56(7-8):1045-1103, 2017. 10.1007/S00153-017-0553-8. arXiv:1402.0367 [math.LO]) to separate Cichoń's diagram into five cardinals as a countable support product. Using the fact that it is of countable support, we augment our construction by adding uncountably many additional cardinal characteristics, sometimes referred to as localisation cardinals.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550353PMC
http://dx.doi.org/10.1007/s00153-020-00746-3DOI Listing

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