- Tytuł:
- On having a countable cover by sets of small local diameter
- Autorzy:
- Ribarska, Nadezhda K.
- Powiązania:
- https://bibliotekanauki.pl/articles/1206073.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
countable cover by sets of small local diameter
fragmentability
Kadec renorming - Opis:
- A characterization of topological spaces admitting a countable cover by sets of small local diameter close in spirit to known characterizations of fragmentability is obtained. It is proved that if X and Y are Hausdorff compacta such that C(X) has an equivalent p-Kadec norm and $C_p(Y)$ has a countable cover by sets of small local norm diameter, then $C_p(X×Y)$ has a countable cover by sets of small local norm diameter as well.
- Źródło:
-
Studia Mathematica; 2000, 140, 2; 99-116
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł