On the center of distances

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00489402" target="_blank" >RIV/67985840:_____/18:00489402 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/s40879-017-0199-4" target="_blank" >http://dx.doi.org/10.1007/s40879-017-0199-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40879-017-0199-4" target="_blank" >10.1007/s40879-017-0199-4</a>

Result language

angličtina

Original language name

On the center of distances

Original language description

We introduce the notion of a center of distances of a metric space and use it in a generalization of the theorem by John von Neumann on permutations of two sequences with the same set of cluster points in a compact metric space. This notion is also used to study sets of subsums of some sequences of positive reals, as well for some impossibility proofs. We compute the center of distances of the Cantorval, which is the set of subsums of the sequence ..., and for other related subsets of the reals.

Czech name

—

Czech description

—

Type

J_imp - 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/GF16-34860L" target="_blank" >GF16-34860L: Logic and Topology in Banach spaces</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2018

Confidentiality

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

Name of the periodical

European Journal of Mathematics

ISSN

2199-675X

e-ISSN

—

Volume of the periodical

4

Issue of the periodical within the volume

2

Country of publishing house

DE - GERMANY

Number of pages

12

Pages from-to

687-698

UT code for WoS article

000438755100012

EID of the result in the Scopus database

2-s2.0-85046682005