DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kurilić, Miloš | en |
dc.contributor.author | Todorčević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:29:22Z | - |
dc.date.available | 2020-05-01T20:29:22Z | - |
dc.date.issued | 2016-08-01 | en |
dc.identifier.issn | 0168-0072 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/2182 | - |
dc.description.abstract | Let G be a countable graph containing a copy of the countable universal and homogeneous graph, also known as the random graph. Let Emb(G) be the monoid of self-embeddings of G, P(G)=(f[G]:f∈Emb(G)) the set of copies of G contained in G, and IG the ideal of subsets of G which do not contain a copy of G. We show that the poset 〈P(G),⊂〉, the algebra P(G)/IG, and the inverse of the right Green's pre-order 〈Emb(G), ≤R〉 have the 2-localization property. The Boolean completions of these pre-orders are isomorphic and satisfy the following law: for each double sequence [bnm:〈n, m〉∈ω×ω] of elements of B denotes the set of all binary subtrees of the tree ω<ω.. | en |
dc.publisher | Elsevier | - |
dc.relation | Set Theory, Model Theory and Set-Theoretic Topology | - |
dc.relation | CNRS and NSERC, Grant 455916 | - |
dc.relation.ispartof | Annals of Pure and Applied Logic | en |
dc.subject | 2-localization | Countable random graph | Forcing | Isomorphic substructure | Right Green's pre-order | Self-embedding | en |
dc.title | The poset of all copies of the random graph has the 2-localization property | en |
dc.type | Article | en |
dc.identifier.doi | 10.1016/j.apal.2016.04.001 | en |
dc.identifier.scopus | 2-s2.0-84964361612 | en |
dc.relation.firstpage | 649 | en |
dc.relation.lastpage | 662 | en |
dc.relation.issue | 8 | en |
dc.relation.volume | 167 | en |
dc.description.rank | M22 | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
crisitem.project.funder | MESTD | - |
crisitem.project.fundingProgram | Basic Research (BR or ON) | - |
crisitem.project.openAire | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/174006 | - |
crisitem.author.orcid | 0000-0003-4543-7962 | - |
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