Topological classification of the hyperspaces of polyhedral convex sets in normed spaces
We prove that, for a normed space $X$ of dimension $dim(X)ge2$ the space $PConv_H(X)$ of non-empty polyhedral convexsubsets of $X$ endowed with the Hausdorff metric ishomeomorphic to the topological sum ${0}oplus |X^*|imes(IRoplus (IRimesarIR_+)oplus ssigma)$, where thecardinal $|X^*|$ is endowed wi...
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| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2013-07-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2013/39_2/203-211.pdf |
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