{"product_id":"progress-in-mathematics-algebra-and-geometry-9781468433081","title":"Progress in Mathematics: Algebra and Geometry","description":"\u003cp\u003e • Author(s): R. V. Gamkrelidze\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis 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. . . . . . 41   15. Concrete Categories . . . . .. ......... 44   16. Generalizations.. . . . . . . 45 Literature Cited . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 CLASS FIELD THEORY. FIELD EXTENSIONS. . . . . . . . 59 S. P. Demushkin 66 Literature Cited vii CONTENTS viii GEOMETRY 75 FINSLER SPACES AND THEIR GENERALIZATIONS ..\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45281739866263,"sku":"9781468433081","price":3633.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781468433081.webp?v=1769300098","url":"https:\/\/atlanticbooks.com\/products\/progress-in-mathematics-algebra-and-geometry-9781468433081","provider":"Atlantic Books","version":"1.0","type":"link"}