A Spectral Sequence Connecting Continuous With Locally Continuous Group Cohomology

Abstract

We present a spectral sequence connecting the continuous and 'locally continuous' group cohomologies for topological groups. As an application it is shown that for contractible topological groups these cohomology concepts coincide. Similar results for k-groups and smooth cochains on Lie groups are also obtained.

Cited by in corpus (2)

• Topological Group Cohomology with Loop Contractible Coefficients
• Topological group cohomology of Lie groups and Chern-Weil theory for compact symmetric spaces