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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.

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rdf:type	Thing yago:WikicatStructuresOnManifolds yago:Artifact100021939 yago:Object100002684 yago:PhysicalEntity100001930 yago:YagoGeoEntity yago:YagoPermanentlyLocatedEntity yago:Structure104341686 yago:Whole100003553
rdfs:label	Hauptvermutung (en) Основная гипотеза комбинаторной топологии (ru)
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)
dcterms:subject	German words and phrases Structures on manifolds Surgery theory Disproved conjectures Geometric topology
Wikipage page ID	2180532 (xsd:integer)
Wikipage revision ID	1123361560 (xsd:integer)
Link from a Wikipage to another Wikipage	Robion Kirby German words and phrases Dennis Sullivan E8 manifold Structures on manifolds Compact space Analytic torsion Surgery theory Geometric topology Ciprian Manolescu Edwin E. Moise German language Conjecture Homotopic Andrew Casson Simon Donaldson Combinatorial topology Tibor Radó Heinrich Franz Friedrich Tietze Laurent C. Siebenmann Disproved conjectures Ernst Steinitz Simplicial complex Mathematical proof Geometric topology John Milnor Homeomorphism Homotopy Triangulation (topology) Dimension Manifold Piecewise linear manifold If and only if Michael Freedman Kirby-Siebenmann class Rochlin invariant Triangulable space PL structure Kirby–Siebenmann obstruction Simply-connected Cohomology group
Link from a Wikipage to an external page	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
sameAs	Hauptvermutung Hauptvermutung Hauptvermutung Hauptvermutung Hauptvermutung
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Cite_book dbt:Cite_web dbt:Efn dbt:Italic_title dbt:Notelist dbt:Reflist dbt:Short_description dbt:Disproved_conjectures
has 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)
prov:wasDerivedFrom	wikipedia-en:Hauptvermutung?oldid=1123361560&ns=0
page length (characters) of wiki page	6407 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Hauptvermutung
is Link from a Wikipage to another Wikipage of	List of conjectures Dennis Sullivan Algebraic K-theory List of German expressions in English Introduction to 3-Manifolds List of geometric topology topics Science and technology in Romania Timeline of manifolds Ciprian Manolescu Conjecture Andrew Casson Combinatorial topology Tibor Radó Heinrich Franz Friedrich Tietze Ernst Steinitz Causal sets

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