Localization of Nilpotent Groups and Spaces

Cover......Page 1
Title page......Page 3
Copyright page......Page 4
Table of Contents......Page 5
Introduction......Page 7
Introduction......Page 11
1. Localization theory of nilpotent groups......Page 13
2. Properties of localization in $N$......Page 29
3. Further properties of localization......Page 33
4. Actions of a nilpotent group on an abelian group......Page 44
5. Generalized Serre classes of groups......Page 53
Introduction......Page 57
1. Localization of 1-connected $CW$-complexes......Page 62
2. Nilpotent spaces......Page 72
3. Localization of nilpotent complexes......Page 82
4. Quasifinite nilpotent spaces......Page 89
5. The main (pullback) theorem......Page 92
6. Localizing $H$-spaces......Page 100
7. Mixing of homotopy types......Page 104
Introduction......Page 111
1. Genus and $H$-spaces......Page 114
2. Finite H-spaces, special results......Page 132
3. Non-cancellation phenomena......Page 143
Bibliography......Page 157
Index......Page 164