DC Field | Value | Language |
---|---|---|
dc.contributor.author | Avilés, Antonio | en |
dc.contributor.author | Todorčević, Stevo | en |
dc.date.accessioned | 2020-05-01T20:29:21Z | - |
dc.date.available | 2020-05-01T20:29:21Z | - |
dc.date.issued | 2018-07-01 | en |
dc.identifier.issn | 0026-9255 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/2172 | - |
dc.description.abstract | Given an analytic multiple gap Γ=Γi:i<n, we study the family B(Γ) of the sets A⊂ n for which there is a restriction Γi|a:i∈A which is still a multiple gap, while a∈Γi⊥ for i∉ A. This family always contains at least two sets of cardinality 2, and every set of cardinality k is contained in a set from B(Γ) of cardinality J(k), a number that grows as 382πk·9k. All these results can be stated in terms of the topology of the Čech–Stone remainder ω∗ and in terms of sequences in Banach spaces. For example, for any finite family of analytic open sets of ω∗ with non-disjoint closures there is always a point that lies in exactly two closures. And given a sequence xn n<ω of vectors in a Banach space that contains subsequences equivalent to ℓ1, ℓ2, … , ℓn in a way that cannot be separated, it always contains a subsequence xnk k<ω where the ℓ1 and ℓ2 subsequences cannot be separated, while there are at most 6 (and this is sharp) of the remaining p’s for which xnk k<ω contains subsequences equivalent to ℓp. | en |
dc.publisher | Springer Link | - |
dc.relation | MINECO and FEDER (Nos. MTM2014-54182-P and MTM2017-86182-P) | - |
dc.relation | Fundación Séneca - Región de Murcia (No. 19275/PI/14) | - |
dc.relation | NSERC (No. 455916) | - |
dc.relation | CNRS (No. IMJ-PRG UMR7586) | - |
dc.relation.ispartof | Monatshefte fur Mathematik | en |
dc.subject | Analytic gap | Multiple gap | Types in the n-adic tree | en |
dc.title | Isolating subgaps of a multiple gap | en |
dc.type | Article | en |
dc.identifier.doi | 10.1007/s00605-018-1189-4 | en |
dc.identifier.scopus | 2-s2.0-85047134835 | en |
dc.relation.firstpage | 373 | en |
dc.relation.lastpage | 392 | en |
dc.relation.issue | 3 | en |
dc.relation.volume | 186 | en |
dc.description.rank | M22 | - |
item.fulltext | No Fulltext | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.orcid | 0000-0003-4543-7962 | - |
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