The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology
Katsuro Sakai ; Zhongqiang Yang
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007), p. 139-143 / Harvested from The Polish Digital Mathematics Library
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Let ConvF(ℝⁿ) be the space of all non-empty closed convex sets in Euclidean space ℝ ⁿ endowed with the Fell topology. We prove that ConvF(ℝⁿ)≈ℝⁿ×Q for every n > 1 whereas ConvF(ℝ)≈ℝ×.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:280774 
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     title = {The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology},
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     year = {2007},
     pages = {139-143},
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     language = {en},
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Katsuro Sakai; Zhongqiang Yang. The Spaces of Closed Convex Sets in Euclidean Spaces with the Fell Topology. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 55 (2007) pp. 139-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba55-2-4/