Bolzano-Weierstrass principle of choice extended towards ordinals

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dc.creatorKulpa, W.
dc.creatorPlewik, Sz.
dc.creatorTurzański, M.
dc.date2006-06-01
dc.date.accessioned2026-07-07T07:14:43Z
dc.date.available2026-07-07T07:14:43Z
dc.descriptionThe Bolzano-Weierstrass principle of choice is the oldest method of the set theory, traditionally used in mathematical analysis. We are extending it towards transfinite sequences of steps indexed by ordinals. We are introducing the notions: hiker's tracks, hiker's maps and statements $P_n(X, Y, m)$; which are used similarly in finite, countable and uncountable cases. New proofs of Ramsey's theorem and Erdös-Rado theorem are presented as some applications.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0606028
dc.identifierhttp://arxiv.org/abs/math/0606028
dc.identifierAnn. Math. Sil. No. 17 (2003), 9--16
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112992
dc.subjectLogic
dc.subject05D10 (03E02 03E05)
dc.titleBolzano-Weierstrass principle of choice extended towards ordinals
dc.typetext

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