On some properties of the class of stationary sets
Volume 76 / 1998
Colloquium Mathematicum 76 (1998), 1-18
DOI: 10.4064/cm-76-1-1-18
Abstract
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.