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- Borsuk–Ulam_theorem abstract "In mathematics, the Borsuk–Ulam theorem, named after Stanislaw Ulam and Karol Borsuk, states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.Here, two points on a sphere are called antipodal if they are in exactly opposite directions from the sphere's center.According to (Matoušek 2003, p. 25), the first historical mention of the statement of this theorem appears in (Lyusternik 1930). The first proof was given by (Borsuk 1933), where the formulation of the problem was attributed to Ulam. Since then, many alternative proofs have been found by various authors, as collected in (Steinlein 1985).".
- Borsuk–Ulam_theorem wikiPageID "4064".
- Borsuk–Ulam_theorem wikiPageRevisionID "605424883".
- Borsuk–Ulam_theorem id "p/b110770".
- Borsuk–Ulam_theorem title "Borsuk fixed-point theorem".
- Borsuk–Ulam_theorem subject Category:Algebraic_topology.
- Borsuk–Ulam_theorem subject Category:Combinatorics.
- Borsuk–Ulam_theorem subject Category:Continuous_mappings.
- Borsuk–Ulam_theorem subject Category:Theorems_in_topology.
- Borsuk–Ulam_theorem comment "In mathematics, the Borsuk–Ulam theorem, named after Stanislaw Ulam and Karol Borsuk, states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.Here, two points on a sphere are called antipodal if they are in exactly opposite directions from the sphere's center.According to (Matoušek 2003, p. 25), the first historical mention of the statement of this theorem appears in (Lyusternik 1930).".
- Borsuk–Ulam_theorem label "Borsuk–Ulam theorem".
- Borsuk–Ulam_theorem label "Satz von Borsuk-Ulam".
- Borsuk–Ulam_theorem label "Stelling van Borsuk-Ulam".
- Borsuk–Ulam_theorem label "Teorema de Borsuk-Ulam".
- Borsuk–Ulam_theorem label "Teorema di Borsuk-Ulam".
- Borsuk–Ulam_theorem label "Théorème de Borsuk-Ulam".
- Borsuk–Ulam_theorem label "Twierdzenie Borsuka-Ulama".
- Borsuk–Ulam_theorem label "Теорема Борсука — Улама".
- Borsuk–Ulam_theorem label "博苏克-乌拉姆定理".
- Borsuk–Ulam_theorem sameAs Borsuk%E2%80%93Ulam_theorem.
- Borsuk–Ulam_theorem sameAs Satz_von_Borsuk-Ulam.
- Borsuk–Ulam_theorem sameAs Théorème_de_Borsuk-Ulam.
- Borsuk–Ulam_theorem sameAs Teorema_di_Borsuk-Ulam.
- Borsuk–Ulam_theorem sameAs 보르수크-울람_정리.
- Borsuk–Ulam_theorem sameAs Stelling_van_Borsuk-Ulam.
- Borsuk–Ulam_theorem sameAs Twierdzenie_Borsuka-Ulama.
- Borsuk–Ulam_theorem sameAs Teorema_de_Borsuk-Ulam.
- Borsuk–Ulam_theorem sameAs Q848092.
- Borsuk–Ulam_theorem sameAs Q848092.
- Borsuk–Ulam_theorem wasDerivedFrom Borsuk–Ulam_theorem?oldid=605424883.