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Piercing Hyperplane Theorem

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dc.contributor.authorUnveren, Burak
dc.contributor.authorBarokas, Guy
dc.date.accessioned2026-06-27T15:10:18Z
dc.date.issued2024
dc.description.abstractWe prove that any strictly convex and closed set in R-n is an affine subspace if it contains a hyperplane as a subset. In other words, no hyperplane fits into a strictly convex and closed set C unless C is flat. We also present certain applications of this result in economic theory reminiscent of the separating and supporting hyperplane theorems.en
dc.description.urihttps://doi.org/10.1134/s0001434624030349
dc.identifier.doi10.1134/s0001434624030349
dc.identifier.eissn1573-8876
dc.identifier.endpage629
dc.identifier.issn0001-4346
dc.identifier.issue3-4
dc.identifier.startpage626
dc.identifier.urihttps://hdl.handle.net/20.500.14981/68541
dc.identifier.volume115
dc.identifier.wos001266109900023
dc.language.isoeng
dc.publisherPLEIADES PUBLISHING LTD
dc.relation.ispartofMATHEMATICAL NOTES
dc.subjectconvex geometry
dc.subjectmathematical economics
dc.subjectMathematics
dc.titlePiercing Hyperplane Theorem
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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