- Tytuł:
- Filters and sequences
- Autorzy:
- Solecki, Sławomir
- Powiązania:
- https://bibliotekanauki.pl/articles/1205111.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
filters
separation property
Fatou's lemma - Opis:
- We consider two situations which relate properties of filters with properties of the limit operators with respect to these filters. In the first one, we show that the space of sequences having limits with respect to a $Π^0_3$ filter is itself $Π^0_3$ and therefore, by a result of Dobrowolski and Marciszewski, such spaces are topologically indistinguishable. This answers a question of Dobrowolski and Marciszewski. In the second one, we characterize universally measurable filters which fulfill Fatou's lemma.
- Źródło:
-
Fundamenta Mathematicae; 2000, 163, 3; 215-228
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł