Introduction to cardinal arithmetic

This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the dev...

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Detalles Bibliográficos
Autores principales: Holz, M, Steffens, K, Weitz, E
Lenguaje:eng
Publicado: Birkhäuser 1999
Materias:
Mathematical Physics and Mathematics
Acceso en línea:https://dx.doi.org/10.1007/978-3-0346-0330-0
http://cds.cern.ch/record/396143
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author Holz, M
Steffens, K
Weitz, E
author_facet Holz, M
Steffens, K
Weitz, E
author_sort Holz, M
collection CERN
description This book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the development in the 1970s led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open in the 1970s.Reviews:'The authors aim their text at beginners in set theory. They start
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language eng
publishDate 1999
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spelling cern-3961432021-04-22T03:16:23Zdoi:10.1007/978-3-0346-0330-0http://cds.cern.ch/record/396143engHolz, MSteffens, KWeitz, EIntroduction to cardinal arithmeticMathematical Physics and MathematicsThis book is an introduction into modern cardinal arithmetic in the frame of the axioms of Zermelo-Fraenkel set theory together with the axiom of choice (ZFC). A first part describes the classical theory developed by Bernstein, Cantor, Hausdorff, König and Tarski between 1870 and 1930. Next, the development in the 1970s led by Galvin, Hajnal and Silver is characterized. The third part presents the fundamental investigations in pcf theory which have been worked out by Shelah to answer the questions left open in the 1970s.Reviews:'The authors aim their text at beginners in set theory. They startBirkhäuseroai:cds.cern.ch:3961431999
spellingShingle Mathematical Physics and Mathematics
Holz, M
Steffens, K
Weitz, E
Introduction to cardinal arithmetic
title Introduction to cardinal arithmetic
title_full Introduction to cardinal arithmetic
title_fullStr Introduction to cardinal arithmetic
title_full_unstemmed Introduction to cardinal arithmetic
title_short Introduction to cardinal arithmetic
title_sort introduction to cardinal arithmetic
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-0346-0330-0
http://cds.cern.ch/record/396143
work_keys_str_mv AT holzm introductiontocardinalarithmetic
AT steffensk introductiontocardinalarithmetic
AT weitze introductiontocardinalarithmetic

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