Knaster's problem on continuous maps of a sphere into Euclidean space

DOI10.1007/BF01099252zbMath0706.55003MaRDI QIDQ919312

V. V. Makeev

Publication date: 1990

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

zbMATH Keywords

coincidence pointsmappings from the n-sphere into Euclidean spaces

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20)

Related Items (3)

Some mapping theorems for continuous functions defined on the sphere ⋮ On a property of functions on the sphere and its application ⋮ The Knaster problem: more counterexamples

Cites Work

• Unnamed Item
• On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. II
• Continuous functions from spheres to Euclidean spaces
• Elementare Begründung ausgewählter stetigkeitsgeometrischer Sätze für Kreis und Kugelfläche
• Estimates of the asphericity of sections of convex bodies
• Cubes in cubes
• Continuous functions defined on spheres
• On equivariant maps of spaces with operators
• On a theorem of F. J. Dyson
• On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. I
• A proof that there exists a circumscribing cube around any bounded closed convex set in \(\mathbb{R}^3\)
• On some separation and mapping theorems
• Real-Valued Mappings of Spheres
• Inscribed Squares in Plane Curves
• Umschreibende Würfel von konvexen Körpern in euklidischen Räumen.
• On Knaster's Conjecture
• Un continu irréductible à décomposition continue en tranches

This page was built for publication: Knaster's problem on continuous maps of a sphere into Euclidean space