On the structure of sets with positive reach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10369103" target="_blank" >RIV/00216208:11320/17:10369103 - isvavai.cz</a>
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/mana.201600237/abstract" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/mana.201600237/abstract</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/mana.201600237" target="_blank" >10.1002/mana.201600237</a>
Alternative languages
Result language
angličtina
Original language name
On the structure of sets with positive reach
Original language description
We give a complete characterization of compact sets with positive reach in the plane and of one-dimensional sets with positive reach in a space of dimension d. Further, we examine lower dimensional sets of positive reach and we show that the boundary of a set with positive reach can be locally covered by finitely many semiconcave hypersurfaces.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA15-08218S" target="_blank" >GA15-08218S: Theory of real functions and its applications in geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematische Nachrichten
ISSN
0025-584X
e-ISSN
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Volume of the periodical
290
Issue of the periodical within the volume
11-12
Country of publishing house
DE - GERMANY
Number of pages
24
Pages from-to
1806-1829
UT code for WoS article
000407032600012
EID of the result in the Scopus database
2-s2.0-85008481901