Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10286395" target="_blank" >RIV/00216208:11320/14:10286395 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum

Original language description

We construct a Lipschitz function on R2 which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L. Pasqualini and was also cited by other authors.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GCP201%2F10%2FJ039" target="_blank" >GCP201/10/J039: Curvature measures and integral geometry</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2014

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Commentationes Mathematicae Universitatis Carolinae

ISSN

0010-2628

e-ISSN

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Volume of the periodical

2014

Issue of the periodical within the volume

55

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

13

Pages from-to

509-521

UT code for WoS article

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EID of the result in the Scopus database

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