Veblen function: Difference between revisions

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=== Fundamental sequences for the Veblen hierarchy ===
{{unsourced section|Date=May 2023}}
The fundamental sequence for an ordinal with [[cofinality]] ω is a distinguished strictly increasing ω-sequence which has the ordinal as its limit. If one has fundamental sequences for α and all smaller limit ordinals, then one can create an explicit constructive bijection between ω and α, (i.e. one not using the axiom of choice). Here we will describe fundamental sequences for the Veblen hierarchy of ordinals. The image of ''n'' under the fundamental sequence for α will be indicated by α[''n''].