Matches in SemOpenAlex for { <https://semopenalex.org/work/W2948699529> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2948699529 abstract "Given a countably infinite hypergraph $mathcal R$ and a finite hypergraph $mathcal A$, the big Ramsey degree of $mathcal A$ in $mathcal R$ is the least number $L$ such that, for every finite $k$ and every $k$-colouring of the embeddings of $mathcal A$ to $mathcal R$, there exists an embedding $f$ from $mathcal R$ to $mathcal R$ such that all the embeddings of $mathcal A$ to the image $f(mathcal R)$ have at most $L$ different colours. We describe the big Ramsey degrees of the random countably infinite 3-uniform hypergraph, thereby solving a question of Sauer. We also give a new presentation of the results of Devlin and Sauer on, respectively, big Ramsey degrees of the order of the rationals and the countably infinite random graph. Our techniques generalise (in a natural way) to relational structures and give new examples of Ramsey structures (a concept recently introduced by Zucker with applications to topological dynamics)." @default.
- W2948699529 created "2019-06-14" @default.
- W2948699529 creator A5010614534 @default.
- W2948699529 creator A5011582129 @default.
- W2948699529 creator A5036434042 @default.
- W2948699529 creator A5039161199 @default.
- W2948699529 creator A5049492592 @default.
- W2948699529 date "2019-06-10" @default.
- W2948699529 modified "2023-09-27" @default.
- W2948699529 title "Big Ramsey degrees of 3-uniform hypergraphs" @default.
- W2948699529 cites W2051714857 @default.
- W2948699529 cites W2465016420 @default.
- W2948699529 cites W2474561564 @default.
- W2948699529 cites W2913855811 @default.
- W2948699529 hasPublicationYear "2019" @default.
- W2948699529 type Work @default.
- W2948699529 sameAs 2948699529 @default.
- W2948699529 citedByCount "0" @default.
- W2948699529 crossrefType "posted-content" @default.
- W2948699529 hasAuthorship W2948699529A5010614534 @default.
- W2948699529 hasAuthorship W2948699529A5011582129 @default.
- W2948699529 hasAuthorship W2948699529A5036434042 @default.
- W2948699529 hasAuthorship W2948699529A5039161199 @default.
- W2948699529 hasAuthorship W2948699529A5049492592 @default.
- W2948699529 hasConcept C10138342 @default.
- W2948699529 hasConcept C110729354 @default.
- W2948699529 hasConcept C114614502 @default.
- W2948699529 hasConcept C118615104 @default.
- W2948699529 hasConcept C132525143 @default.
- W2948699529 hasConcept C154945302 @default.
- W2948699529 hasConcept C162324750 @default.
- W2948699529 hasConcept C182306322 @default.
- W2948699529 hasConcept C184264201 @default.
- W2948699529 hasConcept C2781221856 @default.
- W2948699529 hasConcept C33923547 @default.
- W2948699529 hasConcept C41008148 @default.
- W2948699529 hasConcept C41608201 @default.
- W2948699529 hasConcept C44115641 @default.
- W2948699529 hasConcept C46875033 @default.
- W2948699529 hasConceptScore W2948699529C10138342 @default.
- W2948699529 hasConceptScore W2948699529C110729354 @default.
- W2948699529 hasConceptScore W2948699529C114614502 @default.
- W2948699529 hasConceptScore W2948699529C118615104 @default.
- W2948699529 hasConceptScore W2948699529C132525143 @default.
- W2948699529 hasConceptScore W2948699529C154945302 @default.
- W2948699529 hasConceptScore W2948699529C162324750 @default.
- W2948699529 hasConceptScore W2948699529C182306322 @default.
- W2948699529 hasConceptScore W2948699529C184264201 @default.
- W2948699529 hasConceptScore W2948699529C2781221856 @default.
- W2948699529 hasConceptScore W2948699529C33923547 @default.
- W2948699529 hasConceptScore W2948699529C41008148 @default.
- W2948699529 hasConceptScore W2948699529C41608201 @default.
- W2948699529 hasConceptScore W2948699529C44115641 @default.
- W2948699529 hasConceptScore W2948699529C46875033 @default.
- W2948699529 hasLocation W29486995291 @default.
- W2948699529 hasOpenAccess W2948699529 @default.
- W2948699529 hasPrimaryLocation W29486995291 @default.
- W2948699529 hasRelatedWork W2053772126 @default.
- W2948699529 hasRelatedWork W2384272649 @default.
- W2948699529 hasRelatedWork W2574259853 @default.
- W2948699529 hasRelatedWork W2595801007 @default.
- W2948699529 hasRelatedWork W2606992953 @default.
- W2948699529 hasRelatedWork W2623945979 @default.
- W2948699529 hasRelatedWork W2747053145 @default.
- W2948699529 hasRelatedWork W2768013567 @default.
- W2948699529 hasRelatedWork W2949659844 @default.
- W2948699529 hasRelatedWork W2952465979 @default.
- W2948699529 hasRelatedWork W3002604364 @default.
- W2948699529 hasRelatedWork W3045581041 @default.
- W2948699529 hasRelatedWork W3083619830 @default.
- W2948699529 hasRelatedWork W3084027671 @default.
- W2948699529 hasRelatedWork W3088966738 @default.
- W2948699529 hasRelatedWork W3098291420 @default.
- W2948699529 hasRelatedWork W3099116203 @default.
- W2948699529 hasRelatedWork W3107545586 @default.
- W2948699529 hasRelatedWork W3119684703 @default.
- W2948699529 hasRelatedWork W3134252054 @default.
- W2948699529 isParatext "false" @default.
- W2948699529 isRetracted "false" @default.
- W2948699529 magId "2948699529" @default.
- W2948699529 workType "article" @default.