In mathematics, the Veblen functions are a hierarchy of functions from ordinals to ordinals, introduced by Oswald Veblen in Veblen (1908). If φ0 is any continuous strictly increasing function from ordinals to ordinals, 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 continuous strictly increasing functions from ordinals to ordinals.

PropertyValue
dbpprop:abstract
  • In mathematics, the Veblen functions are a hierarchy of functions from ordinals to ordinals, introduced by Oswald Veblen in Veblen (1908). If φ0 is any continuous strictly increasing function from ordinals to ordinals, 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 continuous strictly increasing functions from ordinals to ordinals.
dbpprop:harvtxtProperty
  • Veblen
  • 1908 (xsd:integer)
dbpprop:reference
dbpprop:wikiPageUsesTemplate
rdfs:comment
  • In mathematics, the Veblen functions are a hierarchy of functions from ordinals to ordinals, introduced by Oswald Veblen in Veblen (1908). If φ0 is any continuous strictly increasing function from ordinals to ordinals, 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 continuous strictly increasing functions from ordinals to ordinals.
rdfs:label
  • Veblen function
owl:sameAs
skos:subject
foaf:page
is dbpprop:redirect of