A Spectral Sequence Connecting Continuous With Locally Continuous Group Cohomology

Details A Spectral Sequence Connecting Continuous With Locally Continuous Group Cohomology A Spectral Sequence Connecting Continuous With Locally Continuous Group Cohomology

2011-10-05

arxiv.org/abs/1110.0994v1

Mathematics

General Topology

Scientific paper

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.

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