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Structure of k-CS- Transitive Cycle-Free Partial Orders. (Record no. 69905)

MARC details
000 -LEADER
fixed length control field 03892nam a22004693i 4500
001 - CONTROL NUMBER
control field EBC3114410
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124607.0
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 240724s1997 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470401993
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821806227
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3114410
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3114410
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11041188
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922964921
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 QA171.485 -- .W37 1997eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510 s;511.3/3
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Warren, Richard.
245 10 - TITLE STATEMENT
Title Structure of k-CS- Transitive Cycle-Free Partial Orders.
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 1997.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©1997.
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.129
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- 1 Extended Introduction -- 1.1 Introduction -- 1.2 Cycle-free partial orders -- 1.3 Homogeneous structures -- 1.4 k-connected set transitivity -- 1.5 Finite and infinite chain CFPO[sub(s)] -- 1.6 Elements of the classification -- 1.7 Further work -- 2 Preliminaries -- 2.1 Introduction -- 2.2 Dedekind-complete partial orders -- 2.3 Cycle-free partial orders -- 2.4 Concerning paths, and the density lemma -- 2.5 Substructures, cones, and their extensions -- 2.6 Convex cycle-free partial orders -- 3 Properties of k-CS-transitive CFPOs -- 3.1 Introduction -- 3.2 k-CS-transivity and k-CS-homogeneity -- 3.3 The infinite chain case -- 3.4 The finite chain case and the bipartite theorem -- 3.5 Sporadic and skeletal cycle-free partial orders -- 4 Constructing CFPOs -- 4.1 Introduction -- 4.2 The completion theorem (Part one) -- 4.3 The completion theorem (Part two) -- 4.4 Useful results concerning M,M[sup(D)] and M -- 5 Characterization and Isomorphism Theorems -- 5.1 Introduction -- 5.2 Characterizations in the infinite chain case -- 5.3 The isomorphism theorems and their corollaries -- 6 Classification of skeletal CFPOs (Part 1) -- 6.1 Introduction -- 6.2 Case A: ↑Ram(M) = ↓Ram(M) -- 6.3 Case B: ↑Ram(M)∩↓Ram(M) = φand Ram(M) is dense -- 6.4 Covering orders -- 6.5 Case C: Fully covered cycle-free partial orders -- 6.6 Case D: Partially covered cycle-free partial orders -- 6.7 Subcase D1: The cycle-free partial orders D[sup(d,u,u')][sub(σ)] -- 6.8 Subcase D2: The cycle-free partial orders e[sup(d,u,u')][sub(σ)] -- 6.9 Subcase D3: The cycle-free partial orders F[sup(d,u,u')][sub(σ,z)] -- 6.10 Summary -- 7 Classification of skeletal CFPOs (Part 2) -- 7.1 Introduction -- 7.2 The cycle-free partial orders g[sup(u,d,u',d')][sub(z)] -- 7.3 Case 2: The cycle-free partial orders H[sup(u,d,u',d')][sub(z)] -- 7.4 An empty case.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 7.5 Case 3: The remaining few -- 7.6 Conclusions in the skeletal case -- Appendix: Sporadic Cycle-free Partial Orders -- A.1 Introduction -- A.2 The classification -- A.3 Conclusions.
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 Partially ordered sets.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Combinatorial set theory.
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 Warren, Richard
Title Structure of k-CS- Transitive Cycle-Free Partial Orders
Place, publisher, and date of publication Providence : American Mathematical Society,c1997
International Standard Book Number 9780821806227
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=3114410">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114410</a>
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