純粋・応用数学（含むガロア理論）4

純粋・応用数学（含むガロア理論）4at MATH

純粋・応用数学（含むガロア理論）4 - 暇つぶし2ch140:hendieck spectral sequence、この３者の関係は、 Leray spectral sequence en.wikipedia ”5 History and connection to other spectral sequences” に詳しいなお、Grothendieck spectral sequence：”the Grothendieck spectral sequence, introduced by Alexander Grothendieck in his Tohoku paper,” とあるさらに、”Sharpe, Eric (2003). Lectures on D-branes and Sheaves (pages 18?19), arXiv:hep-th/0307245”なんてあるね ”D-branes and Sheaves”ね～！（＾＾（参考） https://en.wikipedia.org/wiki/Serre_spectral_sequence Serre spectral sequence In mathematics, the Serre spectral sequence (sometimes Leray?Serre 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. 1 Cohomology spectral sequence 2 Homology spectral sequence 3 Example computations 3.1 Hopf fibration 3.2 Sphere bundle on a complex projective variety 3.3 Basic pathspace fibration 3.4 Cohomology ring of complex projective space 3.5 Fourth homotopy group of the three-sphere つづく

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