Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. IV

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dc.creatorLipparini, Paolo
dc.date2008-05-11
dc.date.accessioned2026-07-07T09:38:16Z
dc.date.available2026-07-07T09:38:16Z
dc.descriptionWe extend to singular cardinals the model-theoretical relation $λ\stackrelκ{\Rightarrow} μ$ introduced in P. Lipparini, The compactness spectrum of abstract logics, large cardinals and combinatorial principles, Boll. Unione Matematica Italiana ser. VII, {\bf 4-B} 875--903 (1990). We extend some results obtained in Part II, finding equivalent conditions involving uniformity of ultrafilters and the existence of certain infinite matrices. Our present definition suggests a new compactness property for abstract logics.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0805.1548
dc.identifierhttp://arxiv.org/abs/0805.1548
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160749
dc.subjectLogic
dc.subject03C20, 03E05, 03C95; 03C55, 03C98
dc.titleCombinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. IV
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