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Ayuda Buscar en la ayuda Buscar en la ayuda Analytic infinite gaps Antonio Avilés ; Stevo Todorcevic [1] [1] Department of Mathematics, University of Toronto, Toronto, Canada Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 40, Nº 2, 2025, págs.
Abstract In this paper we start the analysis of the class D ℵ 2 $\mathcal {D}_{\aleph _2}$ , the class of cofinal types of directed sets of cofinality at most ℵ2. We compare elements of D ℵ 2 $\mathcal {D}_{\aleph _2}$ using the notion of Tukey reducibility. We isolate some simple cofinal types in D ℵ 2 $\mathcal {D}_{\aleph _2}$ , and then proceed to find some of these types which have an immediate successor in the Tukey ordering of D ℵ 2 $\mathcal {D}_{\aleph _2}$ .
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