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

Katsuro Sakai, and Zhongqiang Yang. "The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology." Bulletin of the Polish Academy of Sciences. Mathematics 55.2 (2007): 139-143. <http://eudml.org/doc/280774>.

@article{KatsuroSakai2007,
abstract = {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 × $.},
author = {Katsuro Sakai, Zhongqiang Yang},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {hyperspace of convex sets; Fell topology},
language = {eng},
number = {2},
pages = {139-143},
title = {The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology},
url = {http://eudml.org/doc/280774},
volume = {55},
year = {2007},
}

TY - JOUR
AU - Katsuro Sakai
AU - Zhongqiang Yang
TI - The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2007
VL - 55
IS - 2
SP - 139
EP - 143
AB - 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 × $.
LA - eng
KW - hyperspace of convex sets; Fell topology
UR - http://eudml.org/doc/280774
ER -