000			03294pam a2200421 a 4500
001			3544476
003			RPAM
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006			m b 000 0
007			cr/|||||||||||
008			140928s1998 riu ob 000 0 eng
020			_a9781470402129 (online)
040			_aDLC _cDLC _dDLC _dRPAM
050	0	0	_aQA3 _b.A57 no. 623 _aQA172
082	0	0	_a510 s _a511.3/3 _221
100	1		_aAdeleke, S. A. _q(Samson Adepoju), _d1952-
245	1	0	_aRelations related to betweenness : _h[electronic resource] _btheir structure and automorphisms / _cS.A. Adeleke, Peter M. Neumann.
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc1998.
300			_a1 online resource (viii, 125 p.)
490	0		_aMemoirs of the American Mathematical Society, _x0065-9266 (print); _x1947-6221 (online); _vv. 623
500			_a"January 1998, volume 131, number 623 (third of 4 numbers)."
504			_aIncludes bibliographical references (p. 123-125).
505	0	0	_tPart I. Preparation _t1. Introduction _t2. Terminology and notation _t3. Linear relational structures _tPart II. Semilinear order relations _t4. Semilinearly ordered sets _t5. Examples of semilinear orderings _t6. Automorphism groups of semilinear orderings _t7. Maximal chains in semilinear orderings _t8. Piecewise linear maximal chains in semilinear orderings _t9. Enriching a semilinear ordering _tPart III. Abstract chain sets _t10. $C$-relations _t11. Examples of $C$-sets _t12. The classification of $C$-sets _t13. A topology for $C$-sets _t14. Automorphism groups of $C$-sets _tPart IV. General betweenness relations _t15. $B$-relations and general betweenness relations _t16. Lines, half-lines and directions in a $B$-set _t17. The relationship between $B$-sets and semilinear orderings _t18. Components of $B$-sets _t19. Branch points and sectors of $B$-sets _t20. Automorphism groups of $B$-sets _t21. Improving a $B$-relation to a betweenness relation _tPart V. Abstract direction sets _t22. $D$-relations _t23. Examples of $D$-sets _t24. Structural partitions _t25. Linking of structural partitions _t26. The betweenness relation derived from a $D$-relation _t27. The topology on a $D$-set _t28. Automorphism groups of $D$-sets _tPart VI. Applications and commentary _t29. Combinatorial trees and discrete $B$-sets _t30. Arboreal group theory _t31. $B$-relations and topological spaces _t32. Cameron's tree-like objects _t33. $B$-relations and partially ordered sets _t34. Configurations of sets, with applications to permutation groups
506	1		_aAccess is restricted to licensed institutions
533			_aElectronic reproduction. _bProvidence, Rhode Island : _cAmerican Mathematical Society. _d2012
538			_aMode of access : World Wide Web
588			_aDescription based on print version record.
650		0	_aOrdered algebraic structures.
650		0	_aBetweenness relations (Mathematics)
650		0	_aAutomorphisms.
650		0	_aPermutation groups.
700	1		_aNeumann, P. M.
776	0		_iPrint version: _aAdeleke, S. A. 1952- _tRelations related to betweenness : _w(DLC) 97035546 _x0065-9266 _z9780821806234
786			_dAmerican mathematical Society
856	4		_3Contents _uhttp://www.ams.org/memo/0623
856	4		_3Contents _uhttp://dx.doi.org/10.1090/memo/0623
942			_2EBK13076 _cEBK
999			_c42370 _d42370