| dbo:abstract |
The Hauptvermutung of geometric topology is a now refuted conjecture asking whether any two triangulations of a triangulable space have subdivisions that are combinatorially equivalent, i.e. the subdivided triangulations are built up in the same combinatorial pattern. It was originally formulated as a conjecture in 1908 by Ernst Steinitz and Heinrich Franz Friedrich Tietze, but it is now known to be false. (en) Основная гипотеза комбинаторной топологии (или Hauptvermutung) — гипотеза, утверждающая, что любые две триангуляции одного пространства допускают изоморфные подразбиения. Была сформулирована в 1908 году Эрнстом Штайницем и Генрихом Титце. Эта гипотеза была опровергнута в общем виде.Более того, она оказалась неверной для некоторых многообразий размерности 4 и выше. (ru) |
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http://www.maths.ed.ac.uk/~aar/books/haupt.pdf http://www.worldscientific.com/worldscibooks/10.1142/9887 http://www.maths.ed.ac.uk/~aar/haupt http://www.maths.ed.ac.uk/~aar/slides/orsay.pdf |
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| rdfs:comment |
The Hauptvermutung of geometric topology is a now refuted conjecture asking whether any two triangulations of a triangulable space have subdivisions that are combinatorially equivalent, i.e. the subdivided triangulations are built up in the same combinatorial pattern. It was originally formulated as a conjecture in 1908 by Ernst Steinitz and Heinrich Franz Friedrich Tietze, but it is now known to be false. (en) Основная гипотеза комбинаторной топологии (или Hauptvermutung) — гипотеза, утверждающая, что любые две триангуляции одного пространства допускают изоморфные подразбиения. Была сформулирована в 1908 году Эрнстом Штайницем и Генрихом Титце. Эта гипотеза была опровергнута в общем виде.Более того, она оказалась неверной для некоторых многообразий размерности 4 и выше. (ru) |
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Hauptvermutung (en) Основная гипотеза комбинаторной топологии (ru) |
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