The cohomology of homotopy categories and the general linear group |
| |
| Authors: | Hans-Joachim Baues and Winfried Dreckmann |
| |
| Institution: | (1) Max Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, 5300 Bonn 3, Federal Republic of Germany |
| |
| Abstract: | A homotopy categoryC (of co-H-groups resp.H-groups) represents an element  C in the third cohomology ofC. This element determines all Toda brackets and secondary homotopy operations inC. Moreover, in caseC =VS
n consists of all one-point unions ofn-spheres, the bracket is actually a  /2-generator which restricts to Igusa's class (1) in casen 3; an explicit new cocycle for(1) is obtained by automorphisms of free nil(2)-groups. |
| |
| Keywords: | Cohomology of categories secondary homotopy operations classifying spaces nil(2)-groups general linear group |
| 本文献已被 SpringerLink 等数据库收录！ |
