Cofinal types on ω 2

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Mathematical Logic Quarterly 69 (1):92-103 (2023)
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Abstract

In 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.

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10.1002/malq.202200021

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Citations of this work

Cofinal Types Below.Roy Shalev - forthcoming - Journal of Symbolic Logic:1-26.

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References found in this work

Higher Souslin trees and the generalized continuum hypothesis.John Gregory - 1976 - Journal of Symbolic Logic 41 (3):663-671.
Cofinal types of ultrafilters.Dilip Raghavan & Stevo Todorcevic - 2012 - Annals of Pure and Applied Logic 163 (3):185-199.
A long chain of P-points.Borisa Kuzeljevic & Dilip Raghavan - 2018 - Journal of Mathematical Logic 18 (1):1850004.
Konfinalität.Jürgen Schmidt - 1955 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 1 (4):271-303.
Konfinalität.Jürgen Schmidt - 1955 - Mathematical Logic Quarterly 1 (4):271-303.

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