Cantor normal form

Ordinal Normal Form (Cantor).

For ordinal numbersMathworldPlanetmath α2 and γ1 there is a unique n such that there exist unique β0>>βn and 0<δ0<α,,0<δn<α such that γ=αβ0δ0++αβnδn.

This theorem is often referred to as the Cantor Normal Form of γ in the base of α.

Title Cantor normal form
Canonical name CantorNormalForm
Date of creation 2013-03-22 15:33:01
Last modified on 2013-03-22 15:33:01
Owner rspuzio (6075)
Last modified by rspuzio (6075)
Numerical id 9
Author rspuzio (6075)
Entry type Theorem
Classification msc 03E10