The number of nonisomorphic Boolean subalgebras of a power set
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- by Francisco J. Freniche PDF
- Proc. Amer. Math. Soc. 91 (1984), 199-201 Request permission
Abstract:
It is shown that if $\kappa$ is an infinite cardinal, then there are ${2^{{2^\kappa }}}$ nonisomorphic Boolean subalgebras of $\mathcal {P}\left ( \kappa \right )$. Also it is shown that if $\kappa = c$, then the above subalgebras can be choosen countably complete. This solves a question raised by S. Ulam.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 91 (1984), 199-201
- MSC: Primary 06E05; Secondary 03G05
- DOI: https://doi.org/10.1090/S0002-9939-1984-0740170-X
- MathSciNet review: 740170