On Pisier Type Theorems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F24%3A10493115" target="_blank" >RIV/00216208:11320/24:10493115 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=EpjgUvP6po" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=EpjgUvP6po</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00493-024-00115-1" target="_blank" >10.1007/s00493-024-00115-1</a>

Result language

angličtina

Original language name

On Pisier Type Theorems

Original language description

For any integer h &gt;= 2, a set of integers B={b(i)}(i is an element of I) is a B-h-set if all h-sums b(i1)+ ... + b(ih) with i(1 )&lt; ... &lt; i(h) are distinct. Answering a question of Alon and Erdos [2], for every h &gt;= 2 we construct a set of integers X which is not a union of finitely many B-h-sets, yet any finite subset Y subset of X contains an B-h-set Z with |Z| &gt;= epsilon|Y|, where epsilon:=epsilon(h). We also discuss questions related to a problem of Pisier about the existence of a set A with similar properties when replacing B-h-sets by the requirement that all finite sums &amp; sum;(j is an element of J )b(j )are distinct.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

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

Name of the periodical

Combinatorica

ISSN

0209-9683

e-ISSN

1439-6912

Volume of the periodical

44

Issue of the periodical within the volume

6

Country of publishing house

DE - GERMANY

Number of pages

22

Pages from-to

1211-1232

UT code for WoS article

001271272300002

EID of the result in the Scopus database

2-s2.0-85198144938