Algebraic methods in unstable homotopy theory:
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 u...
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| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
|
| Series: | New mathematical monographs
12 |
| Links: | https://doi.org/10.1017/CBO9780511691638 |
| Summary: | 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. |
| Physical Description: | 1 Online-Ressource (xix, 554 Seiten) |
| ISBN: | 9780511691638 |
Staff View
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| spelling | Neisendorfer, Joseph 1945- Algebraic methods in unstable homotopy theory Joseph Neisendorfer Cambridge Cambridge University Press 2010 1 Online-Ressource (xix, 554 Seiten) txt c cr New mathematical monographs 12 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. Erscheint auch als Druck-Ausgabe 9780521760379 |
| spellingShingle | Neisendorfer, Joseph 1945- Algebraic methods in unstable homotopy theory |
| title | Algebraic methods in unstable homotopy theory |
| title_auth | Algebraic methods in unstable homotopy theory |
| title_exact_search | Algebraic methods in unstable homotopy theory |
| title_full | Algebraic methods in unstable homotopy theory Joseph Neisendorfer |
| title_fullStr | Algebraic methods in unstable homotopy theory Joseph Neisendorfer |
| title_full_unstemmed | Algebraic methods in unstable homotopy theory Joseph Neisendorfer |
| title_short | Algebraic methods in unstable homotopy theory |
| title_sort | algebraic methods in unstable homotopy theory |
| work_keys_str_mv | AT neisendorferjoseph algebraicmethodsinunstablehomotopytheory |