Cofinal types on ω<sub>2</sub>-Reference-Cited by-同舟云学术

Cofinal types on ω₂

Published:2023-02 Issue:1 Volume:69 Page:92-103
ISSN:0942-5616
Container-title:Mathematical Logic Quarterly
language:en
Short-container-title:Mathematical Logic Qtrly

Author:

Kuzeljevic Borisa¹,Todorcevic Stevo²³⁴

Affiliation:

1. Department of Mathematics and Informatics University of Novi Sad Serbia

2. Department of Mathematics University of Toronto Canada

3. Institut de Mathématiques de Jussieu UMR 7586 France

4. Mathematical Institute SANU Serbia

Abstract

AbstractIn this paper we start the analysis of the class , the class of cofinal types of directed sets of cofinality at most ℵ2. We compare elements of using the notion of Tukey reducibility. We isolate some simple cofinal types in , and then proceed to find some of these types which have an immediate successor in the Tukey ordering of .

Funder

Science Fund of the Republic of Serbia

Publisher

Wiley

Subject

Logic

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/malq.202200021

Reference22 articles.

1. Moore-Smith Convergence in General Topology

2. Oriented systems

3. Tukey types of ultrafilters;Dobrinen N.;Illinois J. Math.,2013

4. A new class of Ramsey-classification theorems and their application in the Tukey theory of ultrafilters, Part 1

5. A new class of Ramsey-classification theorems and their applications in the Tukey theory of ultrafilters, Part 2

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1. PCF theory and the Tukey spectrum;Fundamenta Mathematicae;2024

2. COFINAL TYPES BELOW;The Journal of Symbolic Logic;2023-07-24