Ultrafilters and partial products of infinite cyclic groups

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dc.creatorBlass, Andreas
dc.creatorShelah, Saharon
dc.date2005-04-10
dc.date.accessioned2026-07-07T05:18:58Z
dc.date.available2026-07-07T05:18:58Z
dc.descriptionWe consider, for infinite cardinals kappa and alpha <= kappa^+, the group Pi(kappa,< alpha) of sequences of integers, of length kappa, with non-zero entries in fewer than alpha positions. Our main result tells when Pi(kappa,< alpha) can be embedded in Pi(lambda,< beta). The proof involves some set-theoretic results, one about familes of finite sets and one about families of ultrafilters.
dc.identifierhttps://arxiv.org/abs/math/0504199
dc.identifierhttp://arxiv.org/abs/math/0504199
dc.identifierComm. Algebra 33 No. 6 (2005) 1997--2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74849
dc.subjectLogic
dc.titleUltrafilters and partial products of infinite cyclic groups
dc.typetext

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