[過去ﾛｸﾞ] 現代数学の系譜 工学物理雑談 古典ガロア理論も読む63 (1002ﾚｽ)

現代数学の系譜 工学物理雑談 古典ガロア理論も読む63 http://rio2016.5ch.net/test/read.cgi/math/1553946643/

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460: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [sage] 2019/04/13(土) 00:18:58.88 ID:TPdnRaQt >>455 関連 https://en.wikipedia.org/wiki/Grothendieck_spectral_sequence Grothendieck spectral sequence (抜粋) In mathematics, in the field of homological algebra, the Grothendieck spectral sequence, introduced in Tohoku paper, is a spectral sequence that computes the derived functors of the composition of two functors G◯F, from knowledge of the derived functors of F and G. Contents 1 Examples 1.1 The Leray spectral sequence 1.2 Local-to-global Ext spectral sequence 2 Derivation http://rio2016.5ch.net/test/read.cgi/math/1553946643/460

461: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE [sage] 2019/04/13(土) 00:27:13.56 ID:TPdnRaQt >>460 https://en.wikipedia.org/wiki/Grothendieck%27s_T%C3%B4hoku_paper Grothendieck's Tohoku paper (抜粋) The article "Sur quelques points d'algebre homologique" by Alexander Grothendieck,[1] now often referred to as the Tohoku paper,[2] was published in 1957 in the Tohoku Mathematical Journal. It has revolutionized the subject of homological algebra, a purely algebraic aspect of algebraic topology.[3] It removed the need to distinguish the cases of modules over a ring and sheaves of abelian groups over a topological space.[4] Contents 1 Background 2 Later developments Background Material in the paper dates from Grothendieck's year at the University of Kansas in 1955?6. Research there allowed him to put homological algebra on an axiomatic basis, by introducing the abelian category concept.[5][6] つづく http://rio2016.5ch.net/test/read.cgi/math/1553946643/461

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