| 书目名称 | Progress in Mathematics | | 副标题 | Algebra and Geometry | | 编辑 | R. V. Gamkrelidze | | 视频video | | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 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 | | 关键词 | 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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发表于 2025-3-21 16:20:54
