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52.70 €
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Problems & theorems in classical set theory, (Problems books in mathematics)
Auteur(s) : KOMJATH P., TOTIK V.
Date de parution: 06-2006
Support : Livre en impression à la demande
Langue : ANGLAIS
530p. Hardback
Etat : Disponible chez l'éditeur (délai de livraison : 10 jours)
| Résumé | | This volume contains a variety of problems from classical set theory. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. The problems vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution. |
| Sommaire | | Foreword.- Problems: Operations on sets.- Countability.- Equivalence.- Continuum.- Sets of reals and real functions.- Ordered sets.- Order types.- Ordinals.- Ordinal arithmetic.- Cardinals.- Partially ordered sets.- Transfinite enumeration.- Euclidean spaces.- Zorn's lemma.- Hamel bases.- The continuum hypothesis.- Ultrafilters on w.- Families of sets.- The Banach-Tarski paradox.- Stationary sets in w1.- Stationary sets in larger cardinals.- Canonical functions.- Infinite graphs.- Partition relations.- \triangle systems.- Set mappings.- Trees.- The measure problem.- Stationary sets.- The axiom of choice.- Well founded sets and the axiom of foundation.- Solutions: Operations on sets.- Countability.- Equivalence.- Continuum.- Sets of reals and real functions.- Ordered sets.- Order types.- Ordinals.- Ordinal arithmetic.- Cardinals.- Partially ordered sets.- Transfinite enumeration.- Euclidean spaces.- Zorn's lemma.- Hamel bases.- The continuum hypothesis.- Ultrafilters on w Families of sets The Banach-Tarski paradox Stationary sets in w1.- Stationary sets in larger cardinals.- Canonical functions.- Infinite graphs.- Partition relations.- \triangle-systems.- Set mappings.- Trees.- The measure problem.- Stationary sets.- The axiom of choice Well founded sets and the axiom of foundation.- Appendix.- Glossary of Concepts.- Glossary of Symbols.- Index. |
Thèmes :
- Mathematiques & physique / Algebre, analyse, geometrie / 2º cycle
- Mathematiques & physique / Algebre, analyse, geometrie / 3º cycle
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