On finite induced crossed modules, and the homotopy 2-type of mapping cones
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Results on the finiteness of induced crossed modules are proved both algebraically and topologically. Using the Van Kampen type theorem for the fundamental crossed module, applications are given to the 2-types of mapping cones of classifying spaces of groups. Calculations of the cohomology classes of some finite crossed modules are given, using crossed complex methods.
Keywords
- crossed modules, homotopy 2-types, generalised van Kampen Theorem, crossed resolution, Postnikov invariant
| Original language | English |
|---|---|
| Pages (from-to) | 54-71 |
| Journal | Theory and application of categories |
| Volume | 1 |
| Publication status | Published - 1995 |