Combinatorial Set Theory

Name: Combinatorial Set Theory
Brand: Springer London Ltd
SKU: 9781447121725
Price: 749.04 RON
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With a Gentle Introduction to Forcing

Autor: Lorenz Halbeisen

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Legare: Copertă tare

Editura: Springer London Ltd

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This book provides a self-contained introduction to modern set theory and also opens up some more ad...

Informații despre carte

Autor

Lorenz Halbeisen

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2011

Pagini

456

EAN

9781447121725

ISBN

1447121724

Enbook ID

01425658

Editura

Springer London Ltd

Greutate

840

Dimensiuni

169 x 243 x 33

Descriere completă

This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.

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Combinatorial Set Theory

With a Gentle Introduction to Forcing

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Descriere completă

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