Intersection properties of Helly families

DOI10.1016/S0166-8641(00)00074-2zbMath1001.52005MaRDI QIDQ5948944

Władysław Kulpa

Publication date: 9 December 2002

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

zbMATH Keywords

Brouwer fixed point theorem\(m\)-connected topological spacecontractible spaceHelly intersection principle for convex sets

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Helly-type theorems and geometric transversal theory (52A35)

Related Items (2)

Strongly normal sets of contractible tiles in \(n\) dimensions ⋮ The intersection properties of generalized Helly families for inverse limit spaces

Cites Work

• A Nobel prize for John Nash
• Intersecting families of sets and the topology of cones in economics
• The Poincare-Miranda Theorem
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