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On directed sets and their suprema

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Publication:882817
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DOI10.1007/s11117-005-0049-yzbMath1118.54018OpenAlexW1996858130WikidataQ57580521 ScholiaQ57580521MaRDI QIDQ882817

Mohamed Ait Mansour, Nicolae Popovici, Michel Théra

Publication date: 24 May 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0049-y


zbMATH Keywords

Scott topologynormal conesdirected setsDaniell property


Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological lattices (06B30)




Cites Work

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  • The structure of the efficient frontier of finite-dimensional completely-shaded sets
  • Lower semicontinuous regularization for vector-valued mappings
  • Stability of efficient sets: continuity of mobile polarities
  • Continuity and Differentiability Properties of Convex Operators
  • An Existence Theorem in Vector Optimization
  • Densities of idempotent measures and large deviations
  • Topologies on lattice ordered groups, separation from closed downward sets and conjugations of type Lau
  • A characterization of quasiconvex vector-valued functions
  • Abstract convexity and global optimization
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