Comparing the closed almost disjointness and dominating numbers

Dilip Raghavan; Saharon Shelah

doi:10.4064/fm217-1-6

Comparing the closed almost disjointness and dominating numbers

Dilip Raghavan^*, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We prove that if there is a dominating family of size N ₁, then there are N ₁ many compact subsets of ω ^ω whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.

Original language	English
Pages (from-to)	73-81
Number of pages	9
Journal	Fundamenta Mathematicae
Volume	217
Issue number	1
DOIs	https://doi.org/10.4064/fm217-1-6
State	Published - 2012

Keywords

Dominating family
Maximal almost disjoint family

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10.4064/fm217-1-6

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Comparing the closed almost disjointness and dominating numbers

Abstract

Keywords

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