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001			EBC3113543
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005			20240729124545.0
006			m o d |
007			cr cnu||||||||
008			240724s1981 xx o ||||0 eng d
020			_a9781470406523 _q(electronic bk.)
020			_z9780821822456
035			_a(MiAaPQ)EBC3113543
035			_a(Au-PeEL)EBL3113543
035			_a(CaPaEBR)ebr10882202
035			_a(OCoLC)851087085
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA611.3 -- .K36 1981eb
082	0		_a510 s;514/.3
100	1		_aKannan, V.
245	1	0	_aOrdinal Invariants in Topology.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1981.
264		4	_c©1981.
300			_a1 online resource (172 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.32
505	0		_aIntro -- TABLE OF CONTENTS -- INTRODUCTION -- CHAPTER 1. ORDER OF A MAP -- 1.1. Definition and Elementary Results -- 1.2. Quotient Maps with Order ≤ 1 -- 1.3. Behavior of the Order of Quotient Maps -- 1.4. Examples and Exercises -- CHAPTER 2. E-ORDER -- 2.1. Definition and Elementary Properties -- 2.2. Spaces with E-order ≤ 1 -- 2.3. Behavior of E-order -- 2.4. The Least Upper Bound of E-orders -- CHAPTER 3. VIEW FROM CATEGORY THEORY -- 3.1. The Order of a Closure Space -- 3.2. The E-order in Terms of Categorical Notions -- 3.3. Order of a Map in Terms of Categorical Notions -- 3.4. One-to-One Correspondence Between E-orders and Certain Subcategories of CL -- 3.5. Canonical Attainment of E-order -- CHAPTER 4. MORE ABOUT E-ORDER -- 4.1. E-order at a Point -- 4.2. The E-order of a Brush -- 4.3. What Ordinals Appear as E-order -- 4.4. E-order and a Chain of Topologies -- 4.5. What Sets of Ordinals Appear -- CHAPTER 5. SPECIAL INSTANCES -- 5.1. Sequential Order -- 5.2. k-Order -- 5.3. m-Net Order -- 5.4. Some Instances of E-orders -- 5.5. Examples -- CHAPTER 6. SOME INVARIANTS FOR ALL SPACES -- 6.1. The Invariant σ -- 6.2. The Invariant ρ -- 6.3. The Invariant δ -- 6.4. The Invariant r -- MISCELLANEOUS EXERCISES -- LIST OF TABLES AND DIAGRAMS -- APPENDIX -- 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	_aTopological spaces.
650		0	_aInvariants.
650		0	_aNumbers, Ordinal.
650		0	_aCategories (Mathematics).
655		4	_aElectronic books.
776	0	8	_iPrint version: _aKannan, V. _tOrdinal Invariants in Topology _dProvidence : American Mathematical Society,c1981 _z9780821822456
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113543 _zClick to View
999			_c69076 _d69076