Form equivalence class Howard-Rubin Number: 1

Statement:

There is an ordinal \(\beta\) such that for no cardinal \(x\) is there a strictly increasing sequence of cardinals \(\left \{ \,y_{\gamma} : \gamma < \beta \, \right \}\) such that \(y_{\gamma}^2 = x\).

Howard-Rubin number: 1 AM

Citations (articles): Truss [1973b] On certain arbitrarily long sequences of cardinals

Connections (notes): Note [98] Definitions for forms [1 AK], [1 AL], [1 AM] from Truss [1973a]

References (books):

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