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- Separoid abstract "In mathematics, a separoid is a binary relation between disjoint sets which is stable as an ideal in the canonical order induced by inclusion. Many mathematical objects which appear to be quite different, find a common generalisation in the framework of separoids; e.g., graphs, configurations of convex sets, oriented matroids, and polytopes. Any countable category is an induced subcategory of separoids when they are endowed with homomorphisms [1] (viz., mappings that preserve the so-called minimal Radon partitions).In this general framework, some results and invariants of different categories turn out to be special cases of the same aspect; e.g., the pseudoachromatic number from graph theory and the Tverberg theorem from combinatorial convexity are simply two faces of the same aspect, namely, complete colouring of separoids.".
- Separoid wikiPageExternalLink neset1.pdf.
- Separoid wikiPageExternalLink ?q=an:1090.52005&format=complete.
- Separoid wikiPageExternalLink ?q=an:1109.52016&format=complete.
- Separoid wikiPageExternalLink ?q=an:pre05158439&format=complete.
- Separoid wikiPageID "16854527".
- Separoid wikiPageLength "5087".
- Separoid wikiPageOutDegree "31".
- Separoid wikiPageRevisionID "702638736".
- Separoid wikiPageWikiLink Binary_relation.
- Separoid wikiPageWikiLink Category:Mathematical_relations.
- Separoid wikiPageWikiLink Category_(mathematics).
- Separoid wikiPageWikiLink Convex_set.
- Separoid wikiPageWikiLink Directed_graph.
- Separoid wikiPageWikiLink Discrete_and_Computational_Geometry.
- Separoid wikiPageWikiLink Disjoint_sets.
- Separoid wikiPageWikiLink Euclidean_space.
- Separoid wikiPageWikiLink Geombinatorics.
- Separoid wikiPageWikiLink Graph_(discrete_mathematics).
- Separoid wikiPageWikiLink Hadwiger_transversal_theorem.
- Separoid wikiPageWikiLink Homomorphism.
- Separoid wikiPageWikiLink Hyperplane.
- Separoid wikiPageWikiLink Ideal_(order_theory).
- Separoid wikiPageWikiLink Jaroslav_Nešetřil.
- Separoid wikiPageWikiLink Map_(mathematics).
- Separoid wikiPageWikiLink Mathematics.
- Separoid wikiPageWikiLink Morphism.
- Separoid wikiPageWikiLink Open_set.
- Separoid wikiPageWikiLink Oriented_matroid.
- Separoid wikiPageWikiLink Polytope.
- Separoid wikiPageWikiLink Power_set.
- Separoid wikiPageWikiLink Radons_theorem.
- Separoid wikiPageWikiLink Set_(mathematics).
- Separoid wikiPageWikiLink Subset.
- Separoid wikiPageWikiLink Topological_space.
- Separoid wikiPageWikiLink Tverbergs_theorem.
- Separoid wikiPageWikiLink Vertex_(graph_theory).
- Separoid wikiPageUsesTemplate Template:Multiple_issues.
- Separoid wikiPageUsesTemplate Template:No_footnotes.
- Separoid wikiPageUsesTemplate Template:Orphan.
- Separoid subject Category:Mathematical_relations.
- Separoid hypernym Relation.
- Separoid type Agent.
- Separoid type Concept.
- Separoid type Relation.
- Separoid comment "In mathematics, a separoid is a binary relation between disjoint sets which is stable as an ideal in the canonical order induced by inclusion. Many mathematical objects which appear to be quite different, find a common generalisation in the framework of separoids; e.g., graphs, configurations of convex sets, oriented matroids, and polytopes.".
- Separoid label "Separoid".
- Separoid sameAs Q7451840.
- Separoid sameAs m.0408h0l.
- Separoid sameAs Q7451840.
- Separoid wasDerivedFrom Separoid?oldid=702638736.
- Separoid isPrimaryTopicOf Separoid.