We study several intertwinedhierarchiesbetween-Ramseycardinals and measurablecardinals to illuminatethestructureof the largecardinalhierarchy inthis region. Inparticular,westudybabyversionsofmeasurabilityintroducedbyBovykinand McKenzieandsomevariantsbylocatingthesenotionsinthelargecardinalhierarchyand providingcharacterisationsvia ltergames.Asanapplication,wedeterminethetheory oftheuniverseuptoameasurablecardinal.
Schlicht, C.P., Gitman, V. (2025). Between Ramsey and measurable cardinals. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN.
Between Ramsey and measurable cardinals
Caspar Philipp Schlicht
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2025-01-01
Abstract
We study several intertwinedhierarchiesbetween-Ramseycardinals and measurablecardinals to illuminatethestructureof the largecardinalhierarchy inthis region. Inparticular,westudybabyversionsofmeasurabilityintroducedbyBovykinand McKenzieandsomevariantsbylocatingthesenotionsinthelargecardinalhierarchyand providingcharacterisationsvia ltergames.Asanapplication,wedeterminethetheory oftheuniverseuptoameasurablecardinal.
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https://hdl.handle.net/11365/1304155