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Progress in Mathematics - Algebra and Geometry (Paperback, Softcover reprint of the original 1st ed. 1971)
Loot Price: R1,458
Discovery Miles 14 580
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Progress in Mathematics - Algebra and Geometry (Paperback, Softcover reprint of the original 1st ed. 1971)
Series: Progress in Mathematics, 9
Expected to ship within 10 - 15 working days
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Total price: R1,478
Discovery Miles: 14 780
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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. . . . . . 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 .."
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