On the existence of kings in continuous tournaments

DOI10.1016/J.TOPOL.2012.05.021zbMath1301.54038arXiv1205.0600OpenAlexW2084772098MaRDI QIDQ439309

Masato Nagao, Dmitrij B. Shakhmatov

Publication date: 16 August 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0600

zbMATH Keywords

zero-dimensionaldirected graphtournamentcompact spaceanalytic setpseudocompactking chicken theoremweak selection

Mathematics Subject Classification ID

Continuous maps (54C05) Compactness (54D30) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Selections in general topology (54C65) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Directed graphs (digraphs), tournaments (05C20) Infinite graphs (05C63)

Related Items (4)

Coarser Compact Topologies ⋮ King spaces and compactness ⋮ Topologically independent sets in precompact groups ⋮ \(\sigma\)-ideals and outer measures on the real line

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizations of intervals via continuous selections
• Weak selections and pseudocompactness
• Selections and suborderability
• Composable topological properties and semigroups of relations
• Topologies on Spaces of Subsets
• Concerning Rings of Continuous Functions

This page was built for publication: On the existence of kings in continuous tournaments