Limits of Latin Squares
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F23%3A00573950" target="_blank" >RIV/67985807:_____/23:00573950 - isvavai.cz</a>
Alternative codes found
RIV/67985840:_____/23:00583490 RIV/00216224:14330/23:00133934
Result on the web
<a href="https://dx.doi.org/10.19086/da.83253" target="_blank" >https://dx.doi.org/10.19086/da.83253</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.19086/da.83253" target="_blank" >10.19086/da.83253</a>
Alternative languages
Result language
angličtina
Original language name
Limits of Latin Squares
Original language description
We develop a limit theory of Latin squares, paralleling the recent limit theories of dense graphs and permutations. We introduce a notion of density, an appropriate version of the cut distance, and a space of limit objects — so-called Latinons. Key results of our theory are the compactness of the limit space and the equivalence of the topologies induced by the cut distance and the left-convergence. Last, using Keevash’s recent results on combinatorial designs, we prove that each Latinon can be approximated by a finite Latin square.
Czech name
—
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/GJ18-01472Y" target="_blank" >GJ18-01472Y: Graph limits and inhomogeneous random graphs</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Discrete Analysis
ISSN
2397-3129
e-ISSN
—
Volume of the periodical
8
Issue of the periodical within the volume
July 2023
Country of publishing house
GB - UNITED KINGDOM
Number of pages
66
Pages from-to
da.83253
UT code for WoS article
001038207600001
EID of the result in the Scopus database
2-s2.0-85171631393