Titel
TIGHT EVENTUALLY DIFFERENT FAMILIES
Abstract
Generalizing the notion of a tight almost disjoint family, we introduce the notions of a tight eventually different family of functions in Baire space and a tight eventually different set of permutations of ω . Such sets strengthen maximality, exist under MA(σ−centered) and come with a properness preservation theorem. The notion of tightness also generalizes earlier work on the forcing indestructibility of maximality of families of functions. As a result we compute the cardinals ae and ap in many known models by giving explicit witnesses and therefore obtain the consistency of several constellations of cardinal characteristics of the continuum including ae=ap=d
Stichwort
cardinal characteristicsMAD familieseventually different families
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
Erschienen in
Titel
The Journal of Symbolic Logic
ISSN
0022-4812
Erscheinungsdatum
2023
Seitenanfang
1
Seitenende
27
Publication
Cambridge University Press (CUP)
Erscheinungsdatum
2023
Zugänglichkeit
Rechte
Rechteangabe
© The Author(s), 2023
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