- Tytuł:
- Selections that characterize topological completeness
- Autorzy:
-
van Mill, Jan
Pelant, Jan
Pol, Roman - Powiązania:
- https://bibliotekanauki.pl/articles/1205513.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
selection
Vietoris topology
completely metrizable - Opis:
- We show that the assertions of some fundamental selection theorems for lower-semicontinuous maps with completely metrizable range and metrizable domain actually characterize topological completeness of the target space. We also show that certain natural restrictions on the class of the domains change this situation. The results provide in particular answers to questions asked by Engelking, Heath and Michael [3] and Gutev, Nedev, Pelant and Valov [5].
- Źródło:
-
Fundamenta Mathematicae; 1996, 149, 2; 127-141
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł