location:  Publications → journals → CMB
Abstract view

# Splitting Families and Complete Separability

Published:2013-09-30
Printed: Mar 2014
• Heike Mildenberger,
Albert-Ludwigs-Universität, Freiburg
• Dilip Raghavan,
Kobe University
• Juris Steprans,
York University, Toronto, ON
 Format: LaTeX MathJax PDF

## Abstract

We answer a question from Raghavan and Steprāns by showing that $\mathfrak{s} = {\mathfrak{s}}_{\omega, \omega}$. Then we use this to construct a completely separable maximal almost disjoint family under $\mathfrak{s} \leq \mathfrak{a}$, partially answering a question of Shelah.
 Keywords: maximal almost disjoint family, cardinal invariants
 MSC Classifications: 03E05 - Other combinatorial set theory 03E17 - Cardinal characteristics of the continuum 03E65 - Other hypotheses and axioms

 top of page | contact us | privacy | site map |