| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Todorčević, Stevo | en_US |
| dc.date.accessioned | 2025-12-24T11:21:43Z | - |
| dc.date.available | 2025-12-24T11:21:43Z | - |
| dc.date.issued | 2025 | - |
| dc.identifier.issn | 0002-9939 | - |
| dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5654 | - |
| dc.description.abstract | The two alternatives G ≤ K<inf>ℵ</inf><inf>0</inf> and K<inf>ℵ</inf><inf>1</inf> ≤ G of the Open Graph Dichotomy are explored here for a natural class of graphs associated to points x in topological spaces X. This is then used in finding Tukey restrictions on the neighbourhood filters of points x guaranteeing that they have strong properties of sequential convergence. This paper can be seen as natural continuation of Todorcevic [Fund. Math. 267 (2024), pp. 181-194] that gives a Tukey theory interpretations of alternatives of another combinatorial dichotomy. | en_US |
| dc.publisher | American Mathematical Society | en_US |
| dc.relation.ispartof | Proceedings of the American Mathematical Society | en_US |
| dc.subject | Fréchet spaces | Open Graph Dichotomys | Tukey reductions | en_US |
| dc.title | OPEN GRAPHS AND TUKEY ORDER | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | 10.1090/proc/17320 | - |
| dc.identifier.scopus | 2-s2.0-105011274473 | - |
| dc.contributor.affiliation | Mathematics | en_US |
| dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
| dc.relation.firstpage | 4025 | - |
| dc.relation.lastpage | 4039 | - |
| dc.relation.volume | 153 | - |
| dc.description.rank | M22 | - |
| item.openairetype | Article | - |
| item.fulltext | No Fulltext | - |
| item.grantfulltext | none | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
| item.cerifentitytype | Publications | - |
| crisitem.author.orcid | 0000-0003-4543-7962 | - |
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