Statements (49)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
measure theory
|
| gptkbp:defines |
Borel_sets
|
| https://www.w3.org/2000/01/rdf-schema#label |
Borel measure
|
| gptkbp:isA |
σ-finite measure
|
| gptkbp:isAccessibleBy |
true
topological spaces open intervals Borel_sets |
| gptkbp:isAvenueFor |
functional analysis
|
| gptkbp:isCharacterizedBy |
Borel_sets
|
| gptkbp:isCitedBy |
gptkb:Borel_σ-algebra
|
| gptkbp:isConnectedTo |
measurable functions
|
| gptkbp:isCounteredBy |
true
|
| gptkbp:isDescribedAs |
metric spaces
real line Borel_spaces |
| gptkbp:isEquippedWith |
true
|
| gptkbp:isExpectedTo |
Lebesgue measure
|
| gptkbp:isImportantFor |
measure theory
|
| gptkbp:isMaintainedBy |
open sets
|
| gptkbp:isNear |
true
|
| gptkbp:isPartOf |
up to null sets
|
| gptkbp:isRelatedTo |
gptkb:Borel_hierarchy
topology Lebesgue measure Lebesgue integration measurable sets Borel-Cantelli lemma probability measures Borel_sets Borel_isomorphism Borel_space |
| gptkbp:isUsedIn |
information theory
probability theory statistical mechanics functional analysis game theory functional equations real analysis statistical inference stochastic processes dynamical systems ergodic theory random processes measure-theoretic probability quantum_mechanics |
| gptkbp:isValuedFor |
real numbers
topological groups Euclidean spaces |