On the Principle of Dependent Choices and Some Forms of Zorn's Lemma
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 365-367
Voir la notice de l'article provenant de la source Cambridge University Press
The main result of this paper is to prove that a generalization of the Principle of Dependent Choices, introduced by A. Levy [2; see also 1, Chapter 8], is equivalent to a form of Zorn's Lemma.
Wolk, Elliot S. On the Principle of Dependent Choices and Some Forms of Zorn's Lemma. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 365-367. doi: 10.4153/CMB-1983-062-5
@article{10_4153_CMB_1983_062_5,
author = {Wolk, Elliot S.},
title = {On the {Principle} of {Dependent} {Choices} and {Some} {Forms} of {Zorn's} {Lemma}},
journal = {Canadian mathematical bulletin},
pages = {365--367},
year = {1983},
volume = {26},
number = {3},
doi = {10.4153/CMB-1983-062-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-062-5/}
}
TY - JOUR AU - Wolk, Elliot S. TI - On the Principle of Dependent Choices and Some Forms of Zorn's Lemma JO - Canadian mathematical bulletin PY - 1983 SP - 365 EP - 367 VL - 26 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-062-5/ DO - 10.4153/CMB-1983-062-5 ID - 10_4153_CMB_1983_062_5 ER -
[1] 1. Jech, T. J., The Axiom of Choice, North-Holland, 1973. Google Scholar
[2] 2. Levy, A., The interdependence of certain consequences of the axiom of choice, Fund. Math. 54 (1964), 135-157. Google Scholar
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