The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology

• Autorzy: Katsuro Sakai , Zhongqiang Yang
• Języki publikacji: EN

Abstrakty

EN

Let $Conv_F(ℝ ⁿ)$ be the space of all non-empty closed convex sets in Euclidean space ℝ ⁿ endowed with the Fell topology. We prove that $Conv_F(ℝ ⁿ) ≈ ℝ ⁿ × Q$ for every n > 1 whereas $Conv_F(ℝ) ≈ ℝ × 𝕀$.

Kategorie tematyczne

• 54E45: Compact (locally compact) metric spaces
• 54B20: Hyperspaces
• 57N20: Topology of infinite-dimensional manifolds
• 54D05: Connected and locally connected spaces (general aspects)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: 55
• Numer: 2
• Strony: 139-143

Daty

wydano

2007

Twórcy

autor

Katsuro Sakai

• Institute of Mathematics, University of Tsukuba, Tsukuba, 305-8571, Japan

autor

Zhongqiang Yang

• Department of Mathematics, Shantou University, Shantou, Guangdong, 515063, P.R. China

Identyfikatory

DOI

10.4064/ba55-2-4