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Verfasst von:Cherlin, Gregory L. [VerfasserIn]   i
Titel:Homogeneous ordered graphs, metrically homogeneous graphs, and beyond
Titelzusatz:Volume I: Ordered graphs and distanced graphs
Verf.angabe:Gregory Cherlin
Verlagsort:Cambridge
Verlag:Cambridge University Press
Jahr:2022
Umfang:1 Online-Ressource (xxx, 356 Seiten)
Gesamttitel/Reihe:Lecture notes in logic ; 53
Fussnoten:Title from publisher's bibliographic system (viewed on 27 Jun 2022)
ISBN:978-1-009-22966-1
Abstract:This is the first of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. In this volume, Cherlin develops a complete classification of homogeneous ordered graphs and provides a full proof. He then proposes a new family of metrically homogeneous graphs, a weakening of the usual homogeneity condition. A general classification conjecture is presented, together with general structure theory and applications to a general classification conjecture for such graphs. It also includes introductory chapters giving an overview of the results and methods of both volumes, and an appendix surveying recent developments in the area. An extensive accompanying bibliography of related literature, organized by topic, is available online.
DOI:doi:10.1017/9781009229661
URL:Resolving-System: https://doi.org/10.1017/9781009229661
 DOI: https://doi.org/10.1017/9781009229661
Schlagwörter:(s)homogener Graph   i / (s)Klassifikation   i / (s)Modelltheorie   i / (s)geordneter Graph   i / (s)Amalgam <Gruppentheorie>   i / (s)Innere Metrik   i / (s)Metrischer Raum   i
Datenträger:Online-Ressource
Sprache:eng
Bibliogr. Hinweis:Erscheint auch als : Druck-Ausgabe: Cherlin, Gregory L., 1948 - : Homogeneous ordered graphs, metrically homogeneous graphs, and beyond ; Volume 1: Ordered graphs and distanced graphs. - Cambridge : Cambridge University Press, 2022. - xxx, 356 Seiten
K10plus-PPN:1810622190
 
 
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