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Properties of continuous functions on a normed space and its sphere

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Publication:844475
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DOI10.1007/s10958-009-9570-4zbMath1187.55002OpenAlexW2136360681MaRDI QIDQ844475

V. V. Makeev

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9570-4



Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Topological transformation groups (57S99) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Topological manifolds (57N99) Classical topics in algebraic topology (55M99)




Cites Work

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  • On theorems of Borsuk-Ulam, Kakutani-Yamabe-Yujobô and Dyson. II
  • Continuous functions from spheres to Euclidean spaces
  • Continuous functions defined on spheres
  • 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 \(\mathbb{R}^3\)
  • Real-Valued Mappings of Spheres
  • Deformation and mapping theorems
  • Inscribing cubes and covering by rhombic dodecahedra via equivariant topology


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