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e-book

Theory of Relations (Cód: 9756347)

R. Fraïssé

ELSEVIER S&T

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Theory of Relations

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Descrição

The first part of this book concerns the present state of the theory of chains (= total or linear orderings), in connection with some refinements of Ramsey'apos;s theorem, due to Galvin and Nash-Williams. This leads to the fundamental Laver'apos;s embeddability theorem for scattered chains, using Nash-Williams'apos; better quasi-orderings, barriers and forerunning.

The second part (chapters 9 to 12) extends to general relations the main notions and results from order-type theory. An important connection appears with permutation theory (Cameron, Pouzet, Livingstone and Wagner) and with logics (existence criterion of Pouzet-Vaught for saturated relations). The notion of bound of a relation (due to the author) leads to important calculus of thresholds by Frasnay, Hodges, Lachlan and Shelah. The redaction systematically goes back to set-theoretic axioms and precise definitions (such as Tarski'apos;s definition for finite sets), so that for each statement it is mentioned either that ZF axioms suffice, or what other axioms are needed (choice, continuum, dependent choice, ultrafilter axiom, etc.).

Características

Peso 0.00 Kg
Produto sob encomenda Sim
Marca ELSEVIER S&T
Idioma 337
Acabamento e-book
Tamanho do Arquivo 18456
Início da Venda 18/08/2011
Código do Formato Pdf
Cód. Barras 9780080960418
AutorR. Fraïssé