. . . . . . . . "In mathematics, the Serre spectral sequence (sometimes Leray\u2013Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an important tool in algebraic topology. It expresses, in the language of homological algebra, the singular (co)homology of the total space X of a (Serre) fibration in terms of the (co)homology of the base space B and the fiber F. The result is due to Jean-Pierre Serre in his doctoral dissertation."@en . . . . . . . . . . . . . . "In mathematics, the Serre spectral sequence (sometimes Leray\u2013Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an important tool in algebraic topology. It expresses, in the language of homological algebra, the singular (co)homology of the total space X of a (Serre) fibration in terms of the (co)homology of the base space B and the fiber F. The result is due to Jean-Pierre Serre in his doctoral dissertation."@en . . . . . "Serre spectral sequence"@en . . . . "\u5728\u6570\u5B66\u4E2D\uFF0C\u585E\u5C14\u8C31\u5E8F\u5217\uFF08Serre spectral sequence\uFF09\uFF0C\u6709\u65F6\u4E3A\u4E86\u7EAA\u5FF5\u8BA9\u00B7\u52D2\u96F7\u65E9\u5148\u7684\u5DE5\u4F5C\u79F0\u4E3A\u52D2\u96F7-\u585E\u5C14\u8C31\u5E8F\u5217\uFF08Leray-Serre spectral sequence\uFF09\uFF0C\u662F\u4EE3\u6570\u62D3\u6251\u5B66\u4E2D\u7684\u57FA\u672C\u5DE5\u5177\u3002\u5B83\u7528\u540C\u8C03\u4EE3\u6570\u7684\u8BED\u8A00\u5C06\u4E00\u4E2A\uFF08\u585E\u5C14\uFF09\u7EA4\u7EF4\u5316\u7684\u5168\u7A7A\u95F4 E \u7684\u8868\u793A\u4E3A B \u548C\u7EA4\u7EF4 F \u7684\uFF08\u4E0A\uFF09\u540C\u8C03\u3002\u6B64\u7ED3\u8BBA\u5C5E\u4E8E\u8BA9-\u76AE\u57C3\u5C14\u00B7\u585E\u5C14\u7684\u535A\u58EB\u8BBA\u6587\u3002"@zh . . . . "\u585E\u5C14\u8C31\u5E8F\u5217"@zh . . "1021932263"^^ . . . . . . "12440"^^ . . . . . . . . . . . . . "3085825"^^ . . . . . . . . . . "\u5728\u6570\u5B66\u4E2D\uFF0C\u585E\u5C14\u8C31\u5E8F\u5217\uFF08Serre spectral sequence\uFF09\uFF0C\u6709\u65F6\u4E3A\u4E86\u7EAA\u5FF5\u8BA9\u00B7\u52D2\u96F7\u65E9\u5148\u7684\u5DE5\u4F5C\u79F0\u4E3A\u52D2\u96F7-\u585E\u5C14\u8C31\u5E8F\u5217\uFF08Leray-Serre spectral sequence\uFF09\uFF0C\u662F\u4EE3\u6570\u62D3\u6251\u5B66\u4E2D\u7684\u57FA\u672C\u5DE5\u5177\u3002\u5B83\u7528\u540C\u8C03\u4EE3\u6570\u7684\u8BED\u8A00\u5C06\u4E00\u4E2A\uFF08\u585E\u5C14\uFF09\u7EA4\u7EF4\u5316\u7684\u5168\u7A7A\u95F4 E \u7684\u8868\u793A\u4E3A B \u548C\u7EA4\u7EF4 F \u7684\uFF08\u4E0A\uFF09\u540C\u8C03\u3002\u6B64\u7ED3\u8BBA\u5C5E\u4E8E\u8BA9-\u76AE\u57C3\u5C14\u00B7\u585E\u5C14\u7684\u535A\u58EB\u8BBA\u6587\u3002"@zh .