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Veblen function

In mathematics, the Veblen functions are a hierarchy of normal functions (continuous strictly increasing functions from ordinals to ordinals), introduced by Oswald Veblen in Veblen (1908). If φ0 is any normal function, then for any non-zero ordinal α, φα is the function enumerating the common fixed points of φβ for β<α. These functions are all normal.

Veblen hierarchy, Generalizations & Values

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Veblen hierarchy

Generalizations

Values

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Veblen function

Nodes38
Edges37
Triples64
Avg. degree1.95
Density0.052632
Components1

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Veblen function

Top relations

related to References · 50
Veblen function → Adrian Wang, American Mathematical Society, Amsterdam, Berlin, Berlin-New York, BF03023553, Constructive Ordinal Notations, Continuous Increasing Functions, Extending, Finite, For The Uninitiated, Foundations, Gaisi, Grundlehren, Hilbert Levitz, Intelligencer, ISBN, Jayde Sylvie, JSTOR, Kurt
related to Further extensions · 7
Veblen function → Bachmann, Howard, In, In Massmann, It, Kwon, Veblen
related to Finitely many variables · 4
Veblen function → Let, The, To, Veblen
related to Fundamental sequences for limit ordinals of finitary Veblen function · 3
Veblen function → For, SVO, Veblen

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Important terminology

displaystyle ordinals veblen varphi ordinal function gamma beta functions sequence normal fundamental limit one form alpha number value many values

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Veblen functionrelated to Finitely many variablesTo0.60section
Veblen functionrelated to Finitely many variablesVeblen0.60section
Veblen functionrelated to Finitely many variablesLet0.60section
Veblen functionrelated to Finitely many variablesThe0.60section
Veblen functionrelated to Fundamental sequences for limit ordinals of finitary Veblen functionFor0.60section
Veblen functionrelated to Fundamental sequences for limit ordinals of finitary Veblen functionSVO0.60section
Veblen functionrelated to Fundamental sequences for limit ordinals of finitary Veblen functionVeblen0.60section
Veblen functionrelated to Further extensionsIn Massmann0.60section
Veblen functionrelated to Further extensionsKwon0.60section
Veblen functionrelated to Further extensionsVeblen0.60section
Veblen functionrelated to Further extensionsIn0.60section
Veblen functionrelated to Further extensionsIt0.60section

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