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Unstable Homotopy from the Stable Point of View

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Author(s): R. James Milgram (auth.)
Series: Lecture Notes in Mathematics 368
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1974

Language: English
Pages: 115
City: Berlin, New York
Tags: Mathematics, general

Introduction....Pages 1-10
Iterated loop spaces....Pages 11-25
The inclusion X→Ω n Σ n X....Pages 26-34
The map F n (X) → ΩF n−1 (ΣX)....Pages 34-37
The cohomology of the F n ....Pages 37-43
The structure of iterated loop spaces in the metastable range....Pages 44-50
An unstable adams spectral sequence....Pages 51-56
The loop space functor for resolutions....Pages 56-61
The metastable exact sequence....Pages 61-70
Calculating the groups ....Pages 70-74
Calculations of the stable homotopy of K(π,n)'s....Pages 75-80
Some calculations of the stable homotopy groups for the K(Z,n)....Pages 81-90
An example for the metastable exact sequence....Pages 91-97
Further calculations for some truncated projective spaces....Pages 98-106