A note on principal sequences
Glasgow mathematical journal, Tome 6 (1964) no. 3, pp. 133-135
Voir la notice de l'article provenant de la source Cambridge University Press
A fundamental problem in the theory of ordinals is the assignation of principal sequences to limit numbers of the second number class.It is our main object here to show that a certain class of methods, which are a natural generalisation of those used in the solution of the corresponding problem for the real numbers (the description of which we omit), must fail to solve the problem. The methods are those which rest on the following assumption: the principal sequence assigned to any limit number of the second number class is determined once the first i terms of that sequence are known.
Rotman, B. A note on principal sequences. Glasgow mathematical journal, Tome 6 (1964) no. 3, pp. 133-135. doi: 10.1017/S2040618500034894
@article{10_1017_S2040618500034894,
author = {Rotman, B.},
title = {A note on principal sequences},
journal = {Glasgow mathematical journal},
pages = {133--135},
year = {1964},
volume = {6},
number = {3},
doi = {10.1017/S2040618500034894},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500034894/}
}
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