Combinatorics for the dominating and unsplitting numbers

Journal of Symbolic Logic 69 (2):482-498 (2004)
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Abstract

In this paper we introduce a new property of families of functions on the Baire space, called pseudo-dominating, and apply the properties of these families to the study of cardinal characteristics of the continuum. We show that the minimum cardinality of a pseudo-dominating family is min{

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10.2178/jsl/1082418539

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Citations of this work

Products of Menger spaces: A combinatorial approach.Piotr Szewczak & Boaz Tsaban - 2017 - Annals of Pure and Applied Logic 168 (1):1-18.
The density zero ideal and the splitting number.Dilip Raghavan - 2020 - Annals of Pure and Applied Logic 171 (7):102807.
Families of sets related to Rosenthal’s lemma.Damian Sobota - 2019 - Archive for Mathematical Logic 58 (1-2):53-69.

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References found in this work

Groupwise density and related cardinals.Andreas Blass - 1990 - Archive for Mathematical Logic 30 (1):1-11.
Groupwise dense families.Heike Mildenberger - 2001 - Archive for Mathematical Logic 40 (2):93-112.

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