This classic text of the renowned Moscow mathematical school equips the aspiring mathematician with a solid grounding in the core of topology, from a homotopical perspective. Its comprehensiveness and depth of treatment are unmatched among topology textbooks: in addition to covering the basics--the fundamental notions and constructions of homotopy theory, covering spaces and the fundamental group, CW complexes, homology and cohomology, homological algebra--the book treats essential advanced topics, such as obstruction ...
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This classic text of the renowned Moscow mathematical school equips the aspiring mathematician with a solid grounding in the core of topology, from a homotopical perspective. Its comprehensiveness and depth of treatment are unmatched among topology textbooks: in addition to covering the basics--the fundamental notions and constructions of homotopy theory, covering spaces and the fundamental group, CW complexes, homology and cohomology, homological algebra--the book treats essential advanced topics, such as obstruction theory, characteristic classes, Steenrod squares, K-theory and cobordism theory, and, with distinctive thoroughness and lucidity, spectral sequences. The organization of the material around the major achievements of the golden era of topology--the Adams conjecture, Bott periodicity, the Hirzebruch-Riemann-Roch theorem, the Atiyah-Singer index theorem, to name a few--paints a clear picture of the canon of the subject. Grassmannians, loop spaces, and classical groups playa central role in mathematics, and therefore in the presentation of this book, as well. A judicious focus on the key ideas, at an appropriate magnification of detail, enables the reader to navigate the breadth of material, confidently, without the disorientation of algebraic minutiae. Many exercises are integrated throughout the text to build up the reader's mastery of concepts and techniques. Numerous technical illustrations elucidate geometric constructions and the mechanics of spectral sequences and other sophisticated methods. Over fifty hauntingly captivating images by A. T. Fomenko artistically render the wondrous beauty, and mystery, of the subject.
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Edition:
2nd Softcover Reprint of the Origi edition
Publisher:
Springer
Published:
2018
Language:
English
Alibris ID:
17663998794
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Seller's Description:
New. Trade paperback (US). Glued binding. 627 p. Contains: Illustrations, black & white, Tables, black & white. Graduate Texts in Mathematics, 273. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Edition:
2nd Softcover Reprint of the Origi edition
Publisher:
Springer
Published:
2018
Language:
English
Alibris ID:
14775635096
Shipping Options:
Standard Shipping: $4.59
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Print on demand Trade paperback (US). Glued binding. 627 p. Contains: Illustrations, black & white, Tables, black & white. Graduate Texts in Mathematics, 273.
Edition:
2nd Softcover Reprint of the Origi edition
Publisher:
Springer
Published:
2018
Language:
English
Alibris ID:
17663839480
Shipping Options:
Standard Shipping: $4.59
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Glued binding. 627 p. Contains: Illustrations, black & white, Tables, black & white. Graduate Texts in Mathematics, 273. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Edition:
2nd Softcover Reprint of the Origi edition
Publisher:
Springer
Published:
2018
Language:
English
Alibris ID:
17663909524
Shipping Options:
Standard Shipping: $4.59
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
Fine. Trade paperback (US). Glued binding. 627 p. Contains: Illustrations, black & white, Tables, black & white. Graduate Texts in Mathematics, 273. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
