- Tytuł:
- The space of ANR’s in $ℝ^n$
- Autorzy:
-
Dobrowolski, Tadeusz
Rubin, Leonard - Powiązania:
- https://bibliotekanauki.pl/articles/1208440.pdf
- Data publikacji:
- 1994
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
hyperspace
absolute neighborhood retract
absolute retract
$G_{δσ δ}$-set
absorber - Opis:
- The hyperspaces $ANR(ℝ^n)$ and $AR(ℝ^n)$ in $2^{ℝ^n} (n ≥ 3)$ consisting respectively of all compact absolute neighborhood retracts and all compact absolute retracts are studied. It is shown that both have the Borel type of absolute $G_{δσ δ}$-spaces and that, indeed, they are not $F_{σ δσ }$-spaces. The main result is that $ANR(ℝ^n)$ is an absorber for the class of all absolute $G_{δσ δ}$-spaces and is therefore homeomorphic to the standard model space $Ω_3$ of this class.
- Źródło:
-
Fundamenta Mathematicae; 1994-1995, 146, 1; 31-58
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł