{'fraction_non_alphanumeric': 0.03723404255319149, 'fraction_numerical': 0.005319148936170213, 'mean_word_length': 4.463768115942029, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
On some properties of the class of stationary sets

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 prime numbers. It is shown that any stationary set is a set of continuity. Some examples of “big” stationary sets are given, being not sets of uniform convergence.