Peter Komjath,
Vilmos Totik
Springer New York
2006e druk, 2006
9780387302935
Problems and Theorems in Classical Set Theory
Specificaties
Gebonden, 516 blz.
|
Engels
Springer New York |
2006e druk, 2006
ISBN13: 9780387302935
Rubricering
Onderdeel van serie
Problem Books in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They 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.
Specificaties
ISBN13:9780387302935
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:516
Uitgever:Springer New York
Druk:2006
Inhoudsopgave
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 ?.- Families of sets.- The Banach-Tarski paradox.- Stationary sets in ?1.- Stationary sets in larger cardinals.- Canonical functions.- Infinite graphs.- Partition relations.- ?-systems.- Set mappings.- Trees.- The measure problem.- Stationary sets in [?]^- The Banach-Tarski paradox.- Stationary sets in ?1.- Stationary sets in larger cardinals.- Canonical functions.- Infinite graphs.- Partition relations.- ?-systems.- Set mappings.- Trees.- The measure problem.- Stationary sets in [?]^