DC Field | Value | Language |
---|---|---|
dc.contributor.author | Blagojević, Pavle | en |
dc.contributor.author | Karasev, Roman | en |
dc.date.accessioned | 2020-04-26T19:36:32Z | - |
dc.date.available | 2020-04-26T19:36:32Z | - |
dc.date.issued | 2012-12-01 | en |
dc.identifier.issn | 1230-3429 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/570 | - |
dc.description.abstract | We consider extensions of the Rattray theorem and two Makeev's theorems, showing that they hold for several maps, measures, or functions simultaneously, when we consider orthonormal k-frames in ℝn instead of orthonormal bases (full frames). We also present new results on simultaneous partition of several measures into parts by k mutually orthogonal hyperplanes. In the case k = 2 we relate the Rattray and Makeev type results with the well known embedding problem for projective spaces. | en |
dc.publisher | Juliusz Schauder University Centre for Nonlinear Studies | - |
dc.relation.ispartof | Topological Methods in Nonlinear Analysis | en |
dc.subject | Borsuk-ulam type theorems | Measure partition | Rattray's theorem | en |
dc.title | Extensions of theorems of Rattray and Makeev | en |
dc.type | Article | en |
dc.identifier.scopus | 2-s2.0-84872376066 | en |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 189 | en |
dc.relation.lastpage | 213 | en |
dc.relation.issue | 1 | en |
dc.relation.volume | 40 | en |
dc.description.rank | M21 | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | No Fulltext | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
item.openairetype | Article | - |
crisitem.author.orcid | 0000-0003-3649-9897 | - |
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