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On multiple Borsuk numbers in normed spaces

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Tartalom: http://real.mtak.hu/26389/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Submitted

Type = Article
Cím:
On multiple Borsuk numbers in normed spaces
Létrehozó:
Lángi, Zsolt
Naszódi, Márton
Dátum:
2015
Téma:
QA73 Geometry / geometria
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
Formátum:
text
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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