中图分类法:
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O189.2 版次: |
著者:
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Neisendorfer, Joseph, |
题名:
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Algebraic methods in unstable homotopy theory / / , |
出版发行:
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出版地: Cambridge, UK ; 出版社: Cambridge University Press, 出版日期: 2010. |
载体形态:
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xix, 554 p. : ill. ; 24 cm. |
内容提要:
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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. |
主题词:
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Homotopy theory. |
主题词:
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Algebraic topology. |