ガロア第一論文と乗数イデアル他関連資料スレ3

[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ3 (1002ﾚｽ)
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182: １３２人目の素数さん [] 2023/04/16(日) 10:30:23.28 ID:gE8S539U

>>157 戻る
>これが面白かったのでMaclaneの"Homology"を読み始め
>線形代数の方はお留守になってしまいました。

これか
"Homology"1963だが、実質”圏論”だね
GROTHENDIECK Tohoku Math(1957)も入っている

で、数学が面白くなったんだ
東大受験勉強時代は、数学者になる予定じゃなかったのに・・

しかし、よくこんなものが
独学で読めますね・・ｗ

https://www.アマゾン
Homology (Classics in Mathematics) Paperback ? Illustrated, October 4, 2013
English Edition  by Saunders Maclane

Product Details
Publisher ? : ? Springer; 1995th edition (October 4, 2013)
Publication date ? : ? October 4, 2013
Language ? : ? English
Paperback ? : ? 440 pages
（海賊版より）
HOMOLOGY 1963
DR. SAUNDERS MAC LANE. MAX MASON DISTINGUISHED SERVICE
Preface
In presenting this treatment of homological algebra, it is a pleasure
to acknowledge the help and encouragement which I have had from
all sides. Homological algebra arose from many sources in algebra and
topology. Decisive examples came from the study of group extensions
and their factor sets, a subject I learned in joint work with OTTO SCHILLING. A further- development of homological ideas, with a view to their
topological applications, came in my long collaboration with SAMUEL
EILENBERG; to both collaborators, especial thanks. For many years
the Air Force Office of Scientific Research supported my research
projects on various subjects now summarized here; it is a pleasure to
acknowledge their lively understanding of basic science.

つづく

http://rio2016.5ch.net/test/read.cgi/math/1680684665/182

183: １３２人目の素数さん [] 2023/04/16(日) 10:30:56.84 ID:gE8S539U

>>182
つづき

Introduction
Our subject starts with homology, homomorphisms, and tensors.
Homology provides an algebraic "picture" of topological spaces,
assigning to each space X a family of abelian groups H,(X), . . . , H,(X),
. . . , to each continuous map f : X+Y a family of group homomorphisms
f,: H,(X) +H, (Y). Properties of the space or the map can often be
effectively found from properties of the groups H, or the homomorphisms
f,. A similar process associates homology groups to other Mathematical
objects; for example, to a group nor to an associative algebra A. Homology in all such cases is our concern.
Complexes provide a means of calculating homology. Each %-dimensional "singular" simplex T in a topological space X has a boundary
consistini of singular simplices of dimension .n- 1.

Chapter I . Modules. Diagrams. and Functors .............. 8
6 . The Functor Hom .....
7 . Categories ........
8 . Functors .........

Bibliography
GROTHENDIECK, A. : Sur quelques Points d'Alg8bre Homologique. Tohoku Math. J.
9, lie221 (1957). 1x.2; 1x.4; x11.8
- (with J. DIEUDONN*) : l&ments de Mometrie Algebrique. I, 11. Pub. Math.
Inst. des Hautes Etudes. Paris 1960, 1961. Nos. 4 and 8. 1.8

https://www.maths.ed.ac.uk/~v1ranick/
Andrew Ranicki’s Homepage
(引用終り)
以上

http://rio2016.5ch.net/test/read.cgi/math/1680684665/183

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