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Splitting Families and Complete Separability

Published online by Cambridge University Press:  20 November 2018

Heike Mildenberger ,
Dilip Raghavan  and
Juris Steprans
Heike Mildenberger
Affiliation:
Albert-Ludwigs-Universität, Freiburg e-mail: heike.mildenberger@math.uni-freiburg.de
Dilip Raghavan
Affiliation:
Kobe University e-mail: raghavan@math.toronto.edu
Juris Steprans
Affiliation:
York University, Toronto, ON e-mail: steprans@yorku.ca
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Abstract

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We answer a question from Raghavan and Steprāns by showing that $\mathfrak{s}\,\text{=}\,{{\mathfrak{s}}_{\omega ,\omega }}.$ Then we use this to construct a completely separable maximal almost disjoint family under $\mathfrak{s}\,\le \,\mathfrak{a}$, partially answering a question of Shelah.

Keywords

03E0503E1703E65maximal almost disjoint familycardinal invariants
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 1 , 14 March 2014 , pp. 119 - 124
Copyright
Copyright © Canadian Mathematical Society 2014

References

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