Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/4060
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kurilić, Miloš | en |
dc.date.accessioned | 2019-09-23T10:31:48Z | - |
dc.date.available | 2019-09-23T10:31:48Z | - |
dc.date.issued | 2015-01-31 | en |
dc.identifier.issn | 09335846 | en |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/4060 | - |
dc.description.abstract | © 2014, Springer-Verlag Berlin Heidelberg. We study the partial orderings of the form $${\langle \mathbb{P} (\mathbb {X}), \subset\rangle}$$⟨P(X),⊂⟩, where $${\mathbb{X}}$$X is a binary relational structure with the connectivity components isomorphic to a strongly connected structure $${\mathbb{Y}}$$Y and $${\mathbb{P} (\mathbb{X})}$$P(X) is the set of (domains of) substructures of $${\mathbb {X}}$$X isomorphic to $${\mathbb{X}}$$X. We show that, for example, for a countable $${\mathbb{X}}$$X, the poset $${\langle \mathbb {P} (\mathbb{X}), \subset\rangle}$$⟨P(X),⊂⟩ is either isomorphic to a finite power of $${\mathbb{P} (\mathbb{Y})}$$P(Y) or forcing equivalent to a separative atomless σ-closed poset and, consistently, to P(ω)/Fin. In particular, this holds for each ultrahomogeneous structure $${\mathbb{X}}$$X such that $${\mathbb{X}}$$X or $${\mathbb{X}^{c}}$$Xc is a disconnected structure and in this case $${\mathbb{Y}}$$Y can be replaced by an ultrahomogeneous connected digraph. | en |
dc.relation.ispartof | Archive for Mathematical Logic | en |
dc.title | Isomorphic and strongly connected components | en |
dc.type | Journal/Magazine Article | en |
dc.identifier.doi | 10.1007/s00153-014-0399-2 | en |
dc.identifier.scopus | 2-s2.0-85027919726 | en |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85027919726 | en |
dc.relation.lastpage | 48 | en |
dc.relation.firstpage | 35 | en |
dc.relation.issue | 1-2 | en |
dc.relation.volume | 54 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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