Boolean isomorphism between partial orderings of convergent and divergent series and infinite subsets of $\textbf {N}$
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- by Peter Vojtáš PDF
- Proc. Amer. Math. Soc. 117 (1993), 235-242 Request permission
Abstract:
We prove that $\operatorname {RO} (\mathcal {P}(\mathbb {N})/\operatorname {fin} , { \subseteq ^{\ast }})$ is isomorphic under $\mathfrak {p} = \operatorname {cf} ({2^{{\aleph _0}}})$ to the Boolean completion of the comparison ordering of the absolutely divergent series (downwards) and under ${\aleph _1} = \operatorname {cf} ({2^{{\aleph _0}}})$ to the Boolean completion of the ratio comparison ordering of absolutely convergent series (upwards).References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 235-242
- MSC: Primary 03E05; Secondary 03E35, 40A05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1106183-9
- MathSciNet review: 1106183