DC Field | Value | Language |
---|---|---|
dc.contributor.author | Raghavan, Dilip | en_US |
dc.contributor.author | Todorčević, Stevo | en_US |
dc.date.accessioned | 2023-11-23T14:48:10Z | - |
dc.date.available | 2023-11-23T14:48:10Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 0002-9939 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5222 | - |
dc.description.abstract | It is proved that for each natural number n, if |R| = ℵn, then there is a coloring of [R]n+2 into ℵ0 colors that takes all colors on [X]n+2 whenever X is any set of reals which is homeomorphic to Q. This generalizes a theorem of Baumgartner and sheds further light on a problem of Galvin from the 1970s. Our result also complements and contrasts with our earlier result saying that any coloring of [R]2 into finitely many colors can be reduced to at most 2 colors on the pairs of some set of reals which is homeomorphic to Q when large cardinals exist. | en_US |
dc.publisher | American Mathematical Society | en_US |
dc.relation.ispartof | Proceedings of the American Mathematical Society | en_US |
dc.subject | Partition calculus | Ramsey degree | rationals | strong coloring | en_US |
dc.title | GALVIN’S PROBLEM IN HIGHER DIMENSIONS | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1090/proc/16386 | - |
dc.identifier.scopus | 2-s2.0-85174486643 | - |
dc.contributor.affiliation | Mathematics | en_US |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | en_US |
dc.relation.firstpage | 3103 | - |
dc.relation.lastpage | 3110 | - |
dc.relation.issue | 7 | - |
dc.relation.volume | 151 | - |
dc.description.rank | ~M22 | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.orcid | 0000-0003-4543-7962 | - |
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