Baire function

GPTKB entity

Statements (16)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:descriptive_set_theory
real analysis
gptkbp:class Baire class 0 functions are continuous functions.
Baire class 2 functions are pointwise limits of Baire class 1 functions.
Baire class 1 functions are pointwise limits of continuous functions.
gptkbp:codomain real numbers
gptkbp:defines A function that can be obtained from continuous functions by transfinite iteration of the operation of taking pointwise limits.
gptkbp:domain gptkb:topology
gptkbp:field mathematical analysis
https://www.w3.org/2000/01/rdf-schema#label Baire function
gptkbp:namedAfter gptkb:René-Louis_Baire
gptkbp:relatedTo Baire hierarchy
Borel function
gptkbp:bfsParent gptkb:René-Louis_Baire
gptkbp:bfsLayer 7