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Two-dimensional slices of nonpseudoconvex domains with rough boundary
Mid Sweden University, Faculty of Science, Technology and Media, Department of Science Education and Mathematics.
2014 (English)In: Mathematische Zeitschrift, ISSN 0025-5874, E-ISSN 1432-1823, Vol. 278, no 1-2, p. 19-23Article in journal (Refereed) Published
Abstract [en]

For a domain , the set is defined as the set of all points for which the intersection of with every complex -plane through is pseudoconvex. For nonpseudoconvex, it is shown that is contained in an affine subspace of codimension . This results solves a problem raised by Nikolov and Pflug.
Place, publisher, year, edition, pages
2014. Vol. 278, no 1-2, p. 19-23
Keywords [en]
Pseudoconvexity, Sections of nonpseudoconvex domains, Continuity principle
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-24045DOI: 10.1007/s00209-014-1302-xISI: 000343755600002Scopus ID: 2-s2.0-84939887666OAI: oai:DiVA.org:miun-24045DiVA, id: diva2:778211
Available from: 2015-01-09 Created: 2015-01-07 Last updated: 2025-09-25Bibliographically approved

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Porten, Egmont

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
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Output format
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