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On multiple Borsuk numbers in normed spaces |
Tartalom: | http://real.mtak.hu/26389/ |
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Archívum: | MTA Könyvtár |
Gyűjtemény: |
Status = Submitted
Type = Article |
Cím: |
On multiple Borsuk numbers in normed spaces
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Létrehozó: |
Lángi, Zsolt
Naszódi, Márton
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Dátum: |
2015
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Téma: |
QA73 Geometry / geometria
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Tartalmi leírás: |
Hujter and Lángi defined the k-fold Borsuk number of a set S in Euclidean n-space of diameter d > 0 as the smallest cardinality of a family F of subsets of S, of diameters strictly less than d, such that every point of S belongs to at least k members of F.
We investigate whether a k-fold Borsuk covering of a set S in a ?nite dimensional real normed space can be extended to a completion of S. Furthermore, we determine the k-fold Borsuk number of sets in not angled normed planes, and give a partial characterization for sets in angled planes. |
Típus: |
Article
NonPeerReviewed
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Formátum: |
text
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Azonosító: |
Lángi, Zsolt and Naszódi, Márton (2015) On multiple Borsuk numbers in normed spaces. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA. ISSN 0081-6906 (Submitted)
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Kapcsolat: |