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Strongly Summable Ultrafilters, Union Ultrafilters, and the Trivial Sums Property

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Publication:2786451
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DOI10.4153/CJM-2015-023-9zbMath1338.03104arXiv1306.5421MaRDI QIDQ2786451

David J. Fernández Bretón

Publication date: 12 February 2016

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.5421


zbMATH Keywords

abelian groupultrafilterStone-Čech compactificationBoolean groupsparse ultrafilterstrongly summable ultrafilterunion ultrafilterfinite sumadditive isomorphismtrivial sums property


Mathematics Subject Classification ID

Partitions of sets (05A18) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Applications of set theory (03E75) Ramsey theory (05D10) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Abelian groups (20K99)


Related Items (2)

Strongly productive ultrafilters on semigroups ⋮ Finiteness classes arising from Ramsey-theoretic statements in set theory without choice







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