Parametrized ◊ Principles

Parametrized ◊ Principles

We will present a collection of guessing principles which have a similar relationship to ◊ as cardinal invariants of the continuum have to CH. The purpose is to provide a means for systematically analyzing ◊ and its consequences. It also provides for a unified approach for understanding the status o...

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Veröffentlicht in:Transactions of the American Mathematical Society 2004-06, Vol.356 (6), p.2281-2306
Hauptverfasser: Moore, Justin Tatch, Hrušák, Michael, Džamonja, Mirna
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
General topology
Grammatical constructions
Induced substructures
Logic and foundations
Mathematical functions
Mathematical logic, foundations, set theory
Mathematical set theory
Mathematical theorems
Mathematics
MicroRNA
Null set
Recursion
Sciences and techniques of general use
Set theory
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Beschreibung
Zusammenfassung:We will present a collection of guessing principles which have a similar relationship to ◊ as cardinal invariants of the continuum have to CH. The purpose is to provide a means for systematically analyzing ◊ and its consequences. It also provides for a unified approach for understanding the status of a number of consequences of CH and ◊ in models such as those of Laver, Miller, and Sacks.
ISSN:0002-9947
1088-6850
DOI:10.1090/S0002-9947-03-03446-9