Van der Waerden spaces and Hindman spaces are not the same

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dc.creatorKojman, Menachem
dc.creatorShelah, Saharon
dc.date2001-12-23
dc.date.accessioned2026-07-07T04:45:29Z
dc.date.available2026-07-07T04:45:29Z
dc.descriptionA Hausdorff topological space X is van der Waerden if for every sequence (x_n)_n in X there is a converging subsequence (x_n)_{n in A} where subset A of omega contains arithmetic progressions of all finite lengths. A Hausdorff topological space X is Hindman if for every sequence (x_n)_n in X there is an IP-converging subsequence (x_n)_{n in FS(B)} for some infinite subset B of omega. We show that the continuum hypothesis implies the existence of a van der Waerden space which is not Hindman.
dc.identifierhttps://arxiv.org/abs/math/0112265
dc.identifierhttp://arxiv.org/abs/math/0112265
dc.identifierProc. Amer. Math. Soc. 131 No. 5 (2003) 1619--1622
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62971
dc.subjectGeneral Topology
dc.subjectLogic
dc.titleVan der Waerden spaces and Hindman spaces are not the same
dc.typetext

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