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Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous n-tournaments. (Record no. 70062)

MARC details
000 -LEADER
fixed length control field 04830nam a22005053i 4500
001 - CONTROL NUMBER
control field EBC3114567
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124612.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s1998 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470402105
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821808368
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114567
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114567
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041345
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922965067
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA166.15 -- .C44 1998eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;511/.5
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Cherlin, Gregory L.
245 10 - TITLE STATEMENT
Title Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous n-tournaments.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 1998.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©1998.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (183 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.131
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Introduction -- Chapter 1. Results and Open Problems -- 1.1. Homogeneous structures -- 1.2. A survey of work on homogeneous structures -- 1.3. Amalgamation classes -- 1.4. Languages, strong amalgamation, generincation, and Ramsey's theorem -- 1.5. Classification theorems -- 1.6. Open problems -- Chapter 2. Homogeneous 2-tournaments -- 2.1. A catalog -- 2.2. Restricted homogeneous 2-tournaments -- 2.3. Sources and sinks -- 2.4. Constrained 2-tournaments -- 2.5. Unconstrained 2-tournaments -- Chapter 3. Homogeneous n-tournaments -- 3.1. Introduction -- 3.2. Hypercritical and small 3-tournaments -- 3.3. The critical case -- 3.4. Two embedding lemmas -- 3.5. Polarized n-tournaments -- 3.6. Embedding polarized 3-tournaments -- 3.7. Some special cases -- 3.8. The general case -- Chapter 4. Homogeneous symmetric graphs -- 4.1. The theorem of Lachlan and Woodrow -- 4.2. The main ingredients -- 4.3. Structure of the proof -- 4.4. Steps 7, 5, 8. Proof of the Main Theorems -- 4.5. Step 1, Proposition 10: adding K(2) -- 4.6. Step 1, Proposition 11: the operation H[sup(+)] -- 4.7. Step 1, Propositions 12 and 13: realization of 1-types -- 4.8. Step 2. Theorem 4.8: a, b, K -- 4.9. Step 6. Theorem 4.9.n: extending direct sums -- 4.10. Step 3. Theorem 4.6 -- 4.11. Step 4. Theorem 4.7 -- Chapter 5. Homogeneous directed graphs omitting I[sub(∞)] -- 5.1. A catalog of homogeneous directed graphs -- 5.2. The graph P(3) -- 5.3. The theorem -- 5.4. The major steps in the proof -- 5.5. Proof of the Main Theorem, Part 1 -- 5.6. Proof of the Main Theorem, part 2, n &gt -- 2 -- 5.7. Case 2.1 of the Main Theorem -- 5.8. Propositions 14 and 15 -- Chapter 6. Propositions 16 to 20 and MT 2.2 -- 6.1. Proposition 16: simple configurations -- 6.2. Proposition 17: induction on n -- 6.3. Proposition 18: extending I[sub(n)] -- 6.4. Proposition 19: ([sup(p)]y,y').
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 6.5. Proposition 20: ([sup(p)]y,y[sup(⊥)]) -- 6.6. Toward MT 2.2 -- 6.7. Lemma 6.3 -- 6.8. Lemma 6.4 -- 6.9. Lemma 6.5 -- 6.10. Lemma 6.6 -- Chapter 7. Homogeneous directed graphs embedding I[sub(∞)] -- 7.1. The classification theorem -- 7.2. The main ingredients -- 7.3. Structure of the proof -- 7.4. Steps 4, 6, 7. The Main Theorem -- 7.5. Step 1. Proposition 24: P[sub(3)] -- 7.6. Step 1, Proposition 25: adding L(2) -- 7.7. Step 1, Proposition 26: the operations ± -- 7.8. Step 1, Propositions 27 and 28: some 1-types -- Chapter 8. Theorems 7.6-7.9 -- 8.1. Step 2. Theorems 7.6 and 7.7 -- 8.2. Step 5. Theorem 7.9.T: extending a direct sum -- 8.3. Step 3. Theorem 7.8, 1-types over sums -- 8.4. Theorem 7.8, conclusion -- Appendix: Examples for richer languages -- Bibliography -- Index of Notation -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic 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 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Directed graphs.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Tournaments (Graph theory).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Model theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Ramsey theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Permutation groups.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Cherlin, Gregory L.
Title Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous n-tournaments
Place, publisher, and date of publication Providence : American Mathematical Society,c1998
International Standard Book Number 9780821808368
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114567">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114567</a>
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