Remarks on WDC sets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10441157" target="_blank" >RIV/00216208:11320/21:10441157 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=bImNFTmLpa" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=bImNFTmLpa</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14712/1213-7243.2021.006" target="_blank" >10.14712/1213-7243.2021.006</a>

Result language
angličtina
Original language name
Remarks on WDC sets
Original language description
We study WDC sets, which form a substantial generalization of sets with positive reach and still admit the definition of curvature measures. Main results concern WDC sets A subset of R-2. We prove that, for such A, the distance function d(A) = dist(., A) is a "DC aura" for A, which implies that each closed locally WDC set in R-2 is a WDC set. Another consequence is that compact WDC subsets of R-2 form a Borel subset of the space of all compact sets.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-11058S" target="_blank" >GA18-11058S: Generalized convexity in geometry and analysis</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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