. "\u30ED\u30DB\u30EA\u30F3\u306E\u5B9A\u7406"@ja . . . . . "1106025242"^^ . . . "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\u2013Whitney 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."@en . . "1989"^^ . . . . . . "Rokhlin's theorem"@en . . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u0420\u043E\u0445\u043B\u0438\u043D\u0430 \u043E \u0441\u0438\u0433\u043D\u0430\u0442\u0443\u0440\u0435"@ru . . . . . . . . . . "10094"^^ . . . "Robion"@en . "7031816"^^ . . . . . . . . . . . . . . "Kirby"@en . "Robion Kirby"@en . . . . . . . . . . . . "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\u2013Whitney 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."@en . . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u0420\u043E\u0445\u043B\u0438\u043D\u0430 \u043E \u0441\u0438\u0433\u043D\u0430\u0442\u0443\u0440\u0435 \u2014 \u0442\u0435\u043E\u0440\u0435\u043C\u0430 \u0447\u0435\u0442\u044B\u0440\u0451\u0445\u043C\u0435\u0440\u043D\u043E\u0439 \u0442\u043E\u043F\u043E\u043B\u043E\u0433\u0438\u0438.\u0414\u043E\u043A\u0430\u0437\u0430\u043D\u0430 \u0412\u043B\u0430\u0434\u0438\u043C\u0438\u0440\u043E\u043C \u0410\u0431\u0440\u0430\u043C\u043E\u0432\u0438\u0447\u0435\u043C \u0420\u043E\u0445\u043B\u0438\u043D\u044B\u043C \u0432 1952 \u0433\u043E\u0434\u0443."@ru . . . . . . . "\u6570\u5B66\u306E\u4E00\u5206\u91CE\u3067\u3042\u308B 4\u6B21\u5143\u306E\u4F4D\u76F8\u5E7E\u4F55\u5B66\uFF08\u30C8\u30DD\u30ED\u30B8\u30FC)\u306B\u304A\u3044\u3066\u3001\u30ED\u30DB\u30EA\u30F3\u306E\u5B9A\u7406\u3068\u306F\u6ED1\u3089\u304B\u3067\u30B3\u30F3\u30D1\u30AF\u30C8\u306A 4\u6B21\u5143\u591A\u69D8\u4F53 M \u304C\u30B9\u30D4\u30F3\u69CB\u9020\u3092\u6301\u3064\u306A\u3089\u3070(\u540C\u5024\u3060\u304C\u3001\u7B2C2\u30B9\u30C6\u30A3\u30FC\u30D5\u30A7\u30EB\u30FB\u30DB\u30A4\u30C3\u30C8\u30CB\u30FC\u985E w2(M) = 0 \u3067\u3042\u308C\u3070)\u3001\u591A\u69D8\u4F53\u306E\u4EA4\u53C9\u5F62\u5F0F\u306E(signature)\u3001\u7B2C2\u30B3\u30DB\u30E2\u30ED\u30B8\u30FC\u7FA4\u306E\u4E8C\u6B21\u5F62\u5F0F H2(M)\u306F\u300116 \u3067\u5272\u308A\u5207\u308C\u308B\u3068\u3044\u3046\u5B9A\u7406\u3067\u3042\u308B\u3002\u3053\u306E\u5B9A\u7406\u306F\u30011952\u5E74\u306B(Vladimir Rokhlin)\u304C\u8A3C\u660E\u3057\u305F\u3002"@ja . . . . . "\u6570\u5B66\u306E\u4E00\u5206\u91CE\u3067\u3042\u308B 4\u6B21\u5143\u306E\u4F4D\u76F8\u5E7E\u4F55\u5B66\uFF08\u30C8\u30DD\u30ED\u30B8\u30FC)\u306B\u304A\u3044\u3066\u3001\u30ED\u30DB\u30EA\u30F3\u306E\u5B9A\u7406\u3068\u306F\u6ED1\u3089\u304B\u3067\u30B3\u30F3\u30D1\u30AF\u30C8\u306A 4\u6B21\u5143\u591A\u69D8\u4F53 M \u304C\u30B9\u30D4\u30F3\u69CB\u9020\u3092\u6301\u3064\u306A\u3089\u3070(\u540C\u5024\u3060\u304C\u3001\u7B2C2\u30B9\u30C6\u30A3\u30FC\u30D5\u30A7\u30EB\u30FB\u30DB\u30A4\u30C3\u30C8\u30CB\u30FC\u985E w2(M) = 0 \u3067\u3042\u308C\u3070)\u3001\u591A\u69D8\u4F53\u306E\u4EA4\u53C9\u5F62\u5F0F\u306E(signature)\u3001\u7B2C2\u30B3\u30DB\u30E2\u30ED\u30B8\u30FC\u7FA4\u306E\u4E8C\u6B21\u5F62\u5F0F H2(M)\u306F\u300116 \u3067\u5272\u308A\u5207\u308C\u308B\u3068\u3044\u3046\u5B9A\u7406\u3067\u3042\u308B\u3002\u3053\u306E\u5B9A\u7406\u306F\u30011952\u5E74\u306B(Vladimir Rokhlin)\u304C\u8A3C\u660E\u3057\u305F\u3002"@ja . . . "\u0422\u0435\u043E\u0440\u0435\u043C\u0430 \u0420\u043E\u0445\u043B\u0438\u043D\u0430 \u043E \u0441\u0438\u0433\u043D\u0430\u0442\u0443\u0440\u0435 \u2014 \u0442\u0435\u043E\u0440\u0435\u043C\u0430 \u0447\u0435\u0442\u044B\u0440\u0451\u0445\u043C\u0435\u0440\u043D\u043E\u0439 \u0442\u043E\u043F\u043E\u043B\u043E\u0433\u0438\u0438.\u0414\u043E\u043A\u0430\u0437\u0430\u043D\u0430 \u0412\u043B\u0430\u0434\u0438\u043C\u0438\u0440\u043E\u043C \u0410\u0431\u0440\u0430\u043C\u043E\u0432\u0438\u0447\u0435\u043C \u0420\u043E\u0445\u043B\u0438\u043D\u044B\u043C \u0432 1952 \u0433\u043E\u0434\u0443."@ru . . . . . . . . . . . . . . . .