The Homology of Iterated Loop Spaces PDF Download
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Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501
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Book Description
Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501
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Book Description
Author: J.P. May
Publisher: Springer
ISBN: 3540376038
Category : Mathematics
Languages : en
Pages : 184
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Book Description
Author: John Frank Adams
Publisher: Princeton University Press
ISBN: 9780691082066
Category : Mathematics
Languages : en
Pages : 232
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Book Description
The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave.
Author: Joseph Neisendorfer
Publisher: Cambridge University Press
ISBN: 1139482599
Category : Mathematics
Languages : en
Pages : 575
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Book Description
The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.
Author: Z. Fiedorowicz
Publisher: Springer
ISBN: 3540357351
Category : Mathematics
Languages : en
Pages : 441
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Book Description
Author: R.M. Kane
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 504
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Book Description
This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
Author: I.M. James
Publisher: Elsevier
ISBN: 0080532985
Category : Mathematics
Languages : en
Pages : 1336
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Book Description
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Author: P. Hoffman
Publisher: Springer
ISBN: 3540350098
Category : Mathematics
Languages : en
Pages : 668
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Book Description
Author: Arunas Liulevicius
Publisher: American Mathematical Soc.
ISBN: 0821814222
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Author: Haynes Miller
Publisher: CRC Press
ISBN: 1351251600
Category : Mathematics
Languages : en
Pages : 1142
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Book Description
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
