Every strongly summable ultrafilter on \(\bigoplus \mathbb Z_{2}\) is sparse

zbMath1298.03110arXiv1302.5676MaRDI QIDQ374053

David J. Fernández Bretón

Publication date: 25 October 2013

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5676

zbMATH Keywords

abelian groupStone-Čech compactificationBoolean groupultrafiltersfinite sumssparse ultrafilterstrongly summable ultrafilter

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Applications of set theory (03E75) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (3)

Hindman's theorem is only a countable phenomenon ⋮ The Adjacent Hindman’s Theorem for uncountable groups ⋮ Hindman-like theorems with uncountably many colours and finite monochromatic sets

This page was built for publication: Every strongly summable ultrafilter on \(\bigoplus \mathbb Z_{2}\) is sparse