A Spectral Sequence Connecting Continuous With Locally Continuous Group Cohomology

2011/10/05 by Martin Fuchssteiner, Fuchssteiner, Martin · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GN

paper · pdf · doi:10.48550/arxiv.1110.0994

arxiv created 2011/10/05 · openalex publication_date 2011/10/05 · arxiv updated 2011/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

• Topological group cohomology of Lie groups and Chern-Weil theory for compact symmetric spaces

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