Max-plus convex sets and max-plus semispaces. II
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Publication:5423636
DOI10.1080/02331930601123031zbMath1127.52001OpenAlexW2088566997MaRDI QIDQ5423636
Publication date: 31 October 2007
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331930601123031
Axiomatic and generalized convexity (52A01) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Ordered topological linear spaces, vector lattices (46A40)
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On hyperplanes and semispaces in max-min convex geometry ⋮ Max-plus convexity in Archimedean Riesz spaces ⋮ The geometric structure of max-plus hemispaces ⋮ Characterization of tropical hemispaces by \((P, R)\)-decompositions ⋮ Contributions to max-min convex geometry. I: Segments ⋮ An interval version of separation by semispaces in max-min convexity ⋮ Basic solutions of systems with two max-linear inequalities ⋮ The structure of max-plus hyperplanes ⋮ The tropical analogue of polar cones ⋮ The structure of max-min hyperplanes ⋮ Contributions to max-min convex geometry. II: Semispaces and convex sets
Cites Work
- Unnamed Item
- Unnamed Item
- Compatible preorders and linear operators on \({\mathbb{R}}^ n\)
- The structure of max-plus hyperplanes
- The structure of hemispaces in \({\mathbb{R}}^ n\)
- Maximal convex sets
- Topical and sub-topical functions, downward sets and abstract convexity
- On radiant sets, downward sets, topical functions and sub-topical functions in lattice ordered groups
- -convexity
- 𝔹-Convex Sets and Functions
- Max-plus convex sets and max-plus semispaces. I