Some new properties of the stationary sets (defined by G. Pisier in [12]) are studied. Some arithmetical conditions are given, leading to the non-stationarity of the prime numbers. It is shown that any stationary set is a set of continuity. Some examples of "large" stationary sets are given, which are not sets of uniform convergence.
@article{bwmeta1.element.bwnjournal-article-cmv76z1p1bwm,
author = {Pascal Lefevre},
title = {On some properties of the class of stationary sets},
journal = {Colloquium Mathematicae},
volume = {78},
year = {1998},
pages = {1-18},
zbl = {0916.43005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv76z1p1bwm}
}
Lefevre, Pascal. On some properties of the class of stationary sets. Colloquium Mathematicae, Tome 78 (1998) pp. 1-18. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv76z1p1bwm/
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