000			03795nam a22004693i 4500
001			EBC4908573
003			MiAaPQ
005			20240729131330.0
006			m o d |
007			cr cnu||||||||
008			240724s2005 xx o ||||0 ger d
020			_a9781470438937 _q(electronic bk.)
020			_z9780821837887
035			_a(MiAaPQ)EBC4908573
035			_a(Au-PeEL)EBL4908573
035			_a(CaPaEBR)ebr11410114
035			_a(OCoLC)993758353
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA171.48.H387 2005
082	0		_a511.32
100	1		_aPlotkin, J. M.
245	1	0	_aHausdorff on Ordered Sets.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2005.
264		4	_c©2005.
300			_a1 online resource (343 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aHistory of Mathematics ; _vv.25
505	0		_aCover -- Photo -- Title page -- Dedication -- Photo -- Contents -- Preface -- Selected Hausdorff bibliography -- Introduction to "About a certain kind of ordered sets -- About a certain kind of ordered sets [H 1901b] -- Introduction to "The concept of power in set theory -- The concept of power in set theory [H 1904a] -- Introduction to "Investigations into order types, I, II, III -- Investigations into order types [H 1906b] -- Introduction to "Investigations into order types IV, V -- Investigations into order types [H 1907a] -- Introduction to "About dense order types -- About dense order types [H 1907b] -- Introduction to "The fundamentals of a theory of ordered sets -- The fundamentals of a theory of ordered sets [H 1908] -- Introduction to "Graduation by final behavior -- Graduation by final behavior [H 1909a] -- Appendix. Sums of ℵ₁ sets [H 1936b] -- Bibliography -- Back Cover.
520			_aGeorg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor's Continuum Problem and the challenge of well-ordering the real numbers the first problem in his famous Paris lecture. It was time for the appearance of the second generation of Cantorians. They emerged in the decade 1900-1909, and foremost among them were Ernst Zermelo and Felix Hausdorff. Zermelo isolated the Choice Principle, proved that every set could be well-ordered, and axiomatized the concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and pursued set theory as part of the mathematical arsenal. He was recognized as the era's leading Cantorian. From 1901-1909, Hausdorff published seven articles in which he created a representation theory for ordered sets and investigated sets of real sequences partially ordered by eventual dominance, together with their maximally ordered subsets. These papers are translated and appear in this volume. Each is accompanied by an introductory essay. These highly accessible works are of historical significance, not only for set theory, but also for model theory, analysis and algebra.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aOrdered sets--History.
655		4	_aElectronic books.
700	1		_aPlotkin, J. M.
776	0	8	_iPrint version: _aPlotkin, J. M. _tHausdorff on Ordered Sets _dProvidence : American Mathematical Society,c2005 _z9780821837887
797	2		_aProQuest (Firm)
830		0	_aHistory of Mathematics
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908573 _zClick to View
999			_c128082 _d128082