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Baire function

In mathematics, Baire functions are functions obtained from continuous functions by transfinite iteration of the operation of forming pointwise limits of sequences of functions. They were introduced by René-Louis Baire in 1899. A Baire set is a set whose characteristic function is a Baire function.

Baire class 1, Classification of Baire functions & Baire class 2

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Classification of Baire functions

Baire class 1

Baire class 2

General

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Baire function

Nodes42
Edges41
Triples3
Avg. degree1.95
Density0.047619
Components1

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Baire function

Top relations

related to Classification of Baire functions · 3
Baire function → Baire, In, The Baire

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Important terminology

baire function functions set class continuous pointwise characteristic displaystyle mathematics limit rational continuity theorem rené-louis whose sequence derivative countable number

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Baire functionrelated to Classification of Baire functionsBaire0.60section
Baire functionrelated to Classification of Baire functionsThe Baire0.60section
Baire functionrelated to Classification of Baire functionsIn0.60section

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