9783540132585: Constructibility
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ISBN 10: 3540132589 ISBN 13: 9783540132585
Casa editrice: Springer Verlag, 1984

Sinossi

This book is intended to give a fairly comprehensive account of the theory of constructible sets at an advanced level. The intended reader is a graduate mathe- matician with some knowledge of mathematical logic. In particular, we assume familiarity with the notions of formal languages, axiomatic theories in formal languages, logical deductions in such theories, and the interpretation oflanguages in structures. Practically any introductory text on mathematical logic will supply the necessary material. We also assume some familiarity with Zermelo-Fraenkel set theory up to the development or ordinal and cardinal numbers. Any number of texts would suffice here, for instance Devlin (1979) or Levy (1979). The book is not intended to provide a complete coverage of the many and diverse applications of the methods of constructibility theory, rather the theory itself. Such applications as are given are there to motivate and to exemplify the theory. The book is divided into two parts. Part A ("Elementary Theory") deals with the classical definition of the La-hierarchy of constructible sets. With some prun- ing, this part could be used as the basis of a graduate course on constructibility theory. Part B ("Advanced Theory") deals with the fa-hierarchy and the Jensen "fine-structure theory".

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Contenuti

A. Elementary Theory.- I. Preliminaries.- II. The Constructible Universe.- III. ?1-Trees in L.- IV ?+-Trees in L and the Fine Structure Theory.- V. The Story of 0#.- B. Advanced Theory.- VI. The Fine Structure Theory.- VII. Trees and Large Cardinals in L.- VIII. Morasses and the Cardinal Transfer Theorem.- IX. Silver Machines.- Remarks and Historical Notes.- Glossary of Notation.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Springer Verlag
Data di pubblicazione
1984
Lingua
Inglese
ISBN 10 
3540132589
ISBN 13 
9783540132585
Rilegatura
Copertina rigida
Numero edizione
1
Numero di pagine
439
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9781107168350: Constructibility

Edizione in evidenza

ISBN 10:  110716835X ISBN 13:  9781107168350
Casa editrice: Cambridge University Press, 2017
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