Ulam problem in set theory
E85414
The Ulam problem in set theory is a well-known question posed by Stanislaw Ulam concerning the structure and properties of measurable sets and functions, particularly in relation to homomorphisms and measure-theoretic regularity.
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical problem
→
problem in measure theory → problem in set theory → |
| category |
open problems in mathematics
→
problems in set-theoretic measure theory → |
| concerns |
conditions for measure-theoretic regularity
→
existence of homomorphisms preserving measure-theoretic structure → structure of measurable functions → structure of measurable sets → |
| field |
functional analysis
→
measure theory → set theory → |
| hasAspect |
algebraic structure of measurable sets
→
measure-preserving homomorphisms → regularity of measures on set-theoretic structures → |
| involves |
measurable homomorphisms
→
set-theoretic properties of measures → σ-algebras of measurable sets → |
| mainSubject |
homomorphisms of measurable structures
→
measurable functions → measurable sets → measure-theoretic regularity → |
| motivation |
clarifying regularity assumptions in measure theory
→
understanding homomorphisms between measurable structures → |
| namedAfter |
Stanisław Ulam
→
|
| posedBy |
Stanisław Ulam
→
|
| relatedTo |
Stanisław Ulam
→
Ulam measurable cardinal → Ulam stability → regularity properties of measures → set-theoretic measure theory → |
Referenced by (1)
| Subject (surface form when different) | Predicate |
|---|---|
|
Stanislaw Ulam
→
|
notableWork |