Problems and Theorems in Classical Set Theory
This is the first comprehensive collection of problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period between 1920-1970. Many problems are also related to ot...
| Κύριοι συγγραφείς: | , |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
New York, NY :
Springer New York,
2006.
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| Σειρά: | Problem Books in Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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 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 ?
- 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 axiom of choice
- Well-founded sets and the axiom of foundation.
