- Tytuł:
- On [sigma]-porous and [Phi]-angle-small sets in metric spaces
- Autorzy:
- Rolewicz, S.
- Powiązania:
- https://bibliotekanauki.pl/articles/970531.pdf
- Data publikacji:
- 2003
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
zbiór porowaty
porous set
k-monotone family of Lipschitz functions - Opis:
- It is shown that in metric spaces each [alpha, phi)-meagre set A is uniformly very porous and its index of uniform v-porosity is not smaller than [k-alpha/3k+alpha] provided that [phi] is a strictly k-monotone family of Lipschitz functions and [alpha] < k. The paper contains also conditions implying that a k-monotone family of Lipschitz functions is strictly k-monotone.
- Źródło:
-
Control and Cybernetics; 2003, 32, 3; 671-681
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł