| 書目名稱 | Progress in Mathematics | | 副標(biāo)題 | Algebra and Geometry | | 編輯 | R. V. Gamkrelidze | | 視頻video | http://file.papertrans.cn/761/760567/760567.mp4 | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | This volume contains five review articles, two in the Algebra part and three in the Geometry part, surveying the fields of cate- gories and class field theory, in the Algebra part, and of Finsler spaces, structures on differentiable manifolds, and packing, cover- ing, etc., in the Geometry part. The literature covered is primar- Hy that published in 1964-1967. Contents ALGEBRA CATEGORIES ............... . 3 M. S. Tsalenko and E. G. Shul‘geifer § 1. Introduction........... 3 § 2. Foundations of the Theory of Categories . . . . . 4 § 3. Fundamentals of the Theory of Categories . . . . . 6 § 4. Embeddings of Categories ... . . . . . . . . . . . . 14 § 5. Representations of Categories . . . . . . . . . . . . . 16 § 6. Axiomatic Characteristics of Algebraic Categories . . . . . . . . . . . . . . . . . . . . . . . . . . 18 § 7. Reflective Subcategories; Varieties. . . 20 § 8. Radicals in Categories . . . . . . . 24 § 9. Categories with Involution. . . . . . 29 § 10. Universal Algebras in Categories . 30 § 11. Categories with Multiplication . . . 34 § 12. Duality of Functors. .. ....... 37 § 13. Homotopy Theory . . . . .. ........... 39 § 14. Homological Algebra in Categories. . . . . . 4 | | 出版日期 | Book 1971 | | 關(guān)鍵詞 | algebra; differentiable manifold; field; homotopy; manifold | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-3306-7 | | isbn_softcover | 978-1-4684-3308-1 | | isbn_ebook | 978-1-4684-3306-7Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Science+Business Media New York 1971 |
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