Homogeneous ordered graphs, metrically homogeneous graphs, and beyond Volume I, Ordered graphs and distanced graphs Volume I, Ordered graphs and distanced graphs

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 volum...

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Detalles Bibliográficos
Otros Autores: Cherlin, Gregory L., 1948- autor (autor)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press 2022.
Colección:CUP ebooks.
Lecture notes in logic ; 53.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b46920419*spi
Descripción
Sumario: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.
Descripción Física:1 recurso electrónico (xxx, 356 páginas)
Formato:Forma de acceso: World Wide Web.
ISBN:9781009229661