Unstable Homotopy from the Stable Point of View

R. James Milgram (auth.)9780387066554, 0-387-06655-1

Table of contents :
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