Sphere orders

DOI10.1007/BF00563524zbMath0695.06001OpenAlexW4253912207MaRDI QIDQ909680

Peter M. Winkler, Graham R. Brightwell

Publication date: 1989

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00563524

zbMATH Keywords

dimensionspace-timecausality ordersphere order

Mathematics Subject Classification ID

Partial orders, general (06A06) Special relativity (83A05) Other problems of combinatorial convexity (52A37)

Related Items (13)

The crossing number of posets ⋮ Simultaneous dominance representation of multiple posets ⋮ Containment graphs and posets of paths in a tree: wheels and partial wheels ⋮ Continuous causal representation of space–time via sphere orderings ⋮ Lie sphere geometry in lattice cosmology ⋮ The many faces of circle orders ⋮ On sphere orders ⋮ Sphere orderings representation of space-time ⋮ Structure of random discrete spacetime ⋮ Finite three-dimensional partial orders which are not sphere orders ⋮ Some necessary and sufficient conditions for admitting a continuous sphere order representation of two-dimensional space-times ⋮ Spherical containment and the Minkowski dimension of partial orders ⋮ A note on sphere containment orders

Cites Work

• Degrees of freedom versus dimension for containment orders
• Circle orders, n-gon orders and the crossing number
• Interval orders and circle orders
• A short proof that \(N^ 3\) is not a circle containment order
• On circle containment orders
• Partially Ordered Sets

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