000			03468nam a22004933i 4500
001			EBC3114419
003			MiAaPQ
005			20240729124607.0
006			m o d |
007			cr cnu||||||||
008			240724s1998 xx o ||||0 eng d
020			_a9781470402129 _q(electronic bk.)
020			_z9780821806234
035			_a(MiAaPQ)EBC3114419
035			_a(Au-PeEL)EBL3114419
035			_a(CaPaEBR)ebr11041197
035			_a(OCoLC)922965081
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA172 -- .A34 1998eb
082	0		_a510 s;511.3/3
100	1		_aAdeleke, S.A.
245	1	0	_aRelations Related to Betweenness : _bTheir Structure and Automorphisms.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1998.
264		4	_c©1998.
300			_a1 online resource (141 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.131
505	0		_aIntro -- CONTENTS -- PART I. PREPARATION -- 1 Introduction -- 2 Terminology and notation -- 3 Linear relational structures -- PART II: SEMILINEAR ORDER RELATIONS -- 4 Semilinearly ordered sets -- 5 Examples of semilinear orderings -- 6 Automorphism groups of semilinear orderings -- 7 Maximal chains in semilinear orderings -- 8 Piecewise linear maximal chains in semilinear orderings -- 9 Enriching a semilinear ordering -- PART III: ABSTRACT CHAIN SETS -- 10 C-relations -- 11 Examples of C-sets -- 12 The classification of C-sets -- 13 A topology for C-sets -- 14 Automorphism groups of C-sets -- PART IV. GENERAL BETWEENNESS RELATIONS -- 15 B-relations and general betweenness relations -- 16 Lines, half-lines and directions in a B-set -- 17 The relationship between B-sets and semilinear orderings -- 18 Components of B-sets -- 19 Branch points and sectors of B-sets -- 20 Automorphism groups of B-sets -- 21 Improving a B-relation to a betweenness relation -- PART V: ABSTRACT DIRECTION SETS -- 22 D-relations -- 23 Examples of D-sets -- 24 Structural partitions -- 25 Linking of structural partitions -- 26 The betweenness relation derived from a D-relation -- 27 The topology on a D-set -- 28 Automorphism groups of D-sets -- PART VI: APPLICATIONS AND COMMENTARY -- 29 Combinatorial trees and discrete B-sets -- 30 Arboreal group theory -- 31 B-relations and topological spaces -- 32 Cameron's tree-like objects -- 33 B-relations and partially ordered sets -- 34 Configurations of sets, with applications to permutation groups -- REFERENCES.
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 algebraic structures.
650		0	_aBetweenness relations (Mathematics).
650		0	_aAutomorphisms.
650		0	_aPermutation groups.
655		4	_aElectronic books.
700	1		_aNeumann, Peter M.
776	0	8	_iPrint version: _aAdeleke, S.A. _tRelations Related to Betweenness _dProvidence : American Mathematical Society,c1998 _z9780821806234
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114419 _zClick to View
999			_c69914 _d69914