The Knaster problem: more counterexamples

DOI10.1007/BF02786696zbMath1066.55001WikidataQ124849982 ScholiaQ124849982MaRDI QIDQ1775478

Christian Richter, Aicke Hinrichs

Publication date: 3 May 2005

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Knaster conjecture

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items

A note on Makeev's conjectures ⋮ Some mapping theorems for continuous functions defined on the sphere ⋮ Geometry of finite-dimensional normed spaces and continuous functions on the Euclidean sphere ⋮ On a property of functions on the sphere and its application ⋮ Knaster's problem for almost \((\mathbb Z_p)^k\)-orbits ⋮ Knaster's problem for \((\mathbb Z _{2})^{k }\)-symmetric subsets of the sphere \(S^{2^{k}-1}\)

Cites Work

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• Counterexamples to Knaster's conjecture
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• On a property of functions on a sphere
• A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
• Real-Valued Mappings of Spheres
• On Maps From Spheres to Euclidean Spaces
• THE KNASTER PROBLEM AND ALMOST SPHERICAL SECTIONS
• A THEOREM OF BOURGIN-YANG TYPE FOR $ \mathbb{Z}_p^n$-ACTION
• Drei Sätze über die n-dimensionale euklidische Sphäre
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