Boolean isomorphism between partial orderings of convergent and divergent series and infinite subsets of

Author:
Peter Vojtáš

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

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove that is isomorphic under to the Boolean completion of the comparison ordering of the absolutely divergent series (downwards) and under to the Boolean completion of the ratio comparison ordering of absolutely convergent series (upwards).

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1993-1106183-9

Keywords:
(Ratio)comparison ordering of series,
distributivity,
base matrix,
cardinal characteristics of Boolean algebras and of continuum

Article copyright:
© Copyright 1993
American Mathematical Society