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Subject Item
dbr:Rokhlin's_theorem
rdf:type
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ロホリンの定理 Rokhlin's theorem Теорема Рохлина о сигнатуре
rdfs:comment
In 4-dimensional topology, a branch of mathematics, Rokhlin's theorem states that if a smooth, closed 4-manifold M has a spin structure (or, equivalently, the second Stiefel–Whitney class vanishes), then the signature of its intersection form, a quadratic form on the second cohomology group , is divisible by 16. The theorem is named for Vladimir Rokhlin, who proved it in 1952. Теорема Рохлина о сигнатуре — теорема четырёхмерной топологии.Доказана Владимиром Абрамовичем Рохлиным в 1952 году. 数学の一分野である 4次元の位相幾何学（トポロジー)において、ロホリンの定理とは滑らかでコンパクトな 4次元多様体 M がスピン構造を持つならば(同値だが、第2スティーフェル・ホイットニー類 w2(M) = 0 であれば)、多様体の交叉形式の(signature)、第2コホモロジー群の二次形式 H2(M)は、16 で割り切れるという定理である。この定理は、1952年に(Vladimir Rokhlin)が証明した。
dcterms:subject
dbc:Surgery_theory dbc:Differential_structures dbc:4-manifolds dbc:Geometric_topology dbc:Theorems_in_topology
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7031816
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1106025242
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dbpedia-ru:Теорема_Рохлина_о_сигнатуре yago-res:Rokhlin's_theorem wikidata:Q7359997 n18:4vA35 freebase:m.0h15h8 dbpedia-ja:ロホリンの定理
dbp:wikiPageUsesTemplate
dbt:Short_description dbt:Harvs dbt:MR dbt:Citation dbt:Isbn dbt:Cite_journal dbt:Harvtxt dbt:Harv
dbp:authorlink
Robion Kirby
dbp:first
Robion
dbp:last
Kirby
dbp:year
1989
dbo:abstract
In 4-dimensional topology, a branch of mathematics, Rokhlin's theorem states that if a smooth, closed 4-manifold M has a spin structure (or, equivalently, the second Stiefel–Whitney class vanishes), then the signature of its intersection form, a quadratic form on the second cohomology group , is divisible by 16. The theorem is named for Vladimir Rokhlin, who proved it in 1952. 数学の一分野である 4次元の位相幾何学（トポロジー)において、ロホリンの定理とは滑らかでコンパクトな 4次元多様体 M がスピン構造を持つならば(同値だが、第2スティーフェル・ホイットニー類 w2(M) = 0 であれば)、多様体の交叉形式の(signature)、第2コホモロジー群の二次形式 H2(M)は、16 で割り切れるという定理である。この定理は、1952年に(Vladimir Rokhlin)が証明した。 Теорема Рохлина о сигнатуре — теорема четырёхмерной топологии.Доказана Владимиром Абрамовичем Рохлиным в 1952 году.
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wikipedia-en:Rokhlin's_theorem