000			02940nam a22004573i 4500
001			EBC3113859
003			MiAaPQ
005			20240729124552.0
006			m o d |
007			cr cnu||||||||
008			240724s1988 xx o ||||0 eng d
020			_a9781470408008 _q(electronic bk.)
020			_z9780821824436
035			_a(MiAaPQ)EBC3113859
035			_a(Au-PeEL)EBL3113859
035			_a(CaPaEBR)ebr10918812
035			_a(OCoLC)851087191
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA611.28 -- .B478 1988eb
082	0		_a514/.3
100	1		_aBestvina, Mladen.
245	1	0	_aCharacterizing K-Dimensional Universal Menger Compacta.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1988.
264		4	_c©1988.
300			_a1 online resource (121 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.71
505	0		_aIntro -- TABLE OF CONTENTS -- INTRODUCTION -- DEFINITIONS AND NOTATION -- 1. PARTITIONS -- 1.1. Partitions on Compact PL-Manifolds (With Boundary) -- 1.2. The Standard Construction of the Universal k-Dimensional Menger Space μ[sup(k)] and μ[sup(k)]-Manifolds -- 1.3. A Combinatorial Characterization of μ[sup(k)] -- 2. BASIC MOVES -- 2.1. On LC[sup(k-1)]-Spaces and UV[sup(k-1)]-Maps -- 2.2. The Isotopy Move and Verification of Axiom 1 -- 2.3. Absorbing Maps and Basic Properties of μ[sup(k)]-Manifolds -- 2.4. Building Partitions and Associated Maps -- 2.5. Connecting Intersections -- 2.6. Correct Ordering -- 2.7. Increasing the Connectivity of Partition Elements -- 2.8 Some Easy Consequences -- 3. THE Z-SET UNKNOTTING THEOREM -- 3.1. The Z-set Unknotting Theorem -- 3.2. Homogeneity of μ[sup(k)] -- 4. THE DECOMPOSITION THEORY OF MENGER MANIFOLDS -- 4.1. The Z-set Shrinking Theorem -- 4.2. The σ-Z-set Shrinking Theorem -- 4.3. The Main Shrinking Theorem -- 5. THE CHARACTERIZATION THEOREM -- 5.1. The Resolution Theorem -- 5.2. The Characterization Theorem -- 6. NONCOMPACT MENGER MANIFOLDS -- APPENDIX -- LIST OF 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	_aMetric spaces.
650		0	_aManifolds (Mathematics).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aBestvina, Mladen _tCharacterizing K-Dimensional Universal Menger Compacta _dProvidence : American Mathematical Society,c1988 _z9780821824436
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113859 _zClick to View
999			_c69390 _d69390