Project Details
Description
Further development of semi-abelian homology theory along the lines of my Ph.D. thesis "Homology and homotopy in semi-abelian categories" and the paper "Higher Hopf formulae for homology via Galois Theory "
-Extending the cohomology theory in my thesis to incorprate arbitrary modules of coefficients (instead of just abelian group objects-, extensions with non-abelian kernel, and descriptions of the higher cohomology groups.
- Understanding homotopy of internal (hyper) crossed complexes in semi-abelian categories by means of Quillen model category structures.
- Investigating how closely this homology theory is related with K-theory
-Extending the cohomology theory in my thesis to incorprate arbitrary modules of coefficients (instead of just abelian group objects-, extensions with non-abelian kernel, and descriptions of the higher cohomology groups.
- Understanding homotopy of internal (hyper) crossed complexes in semi-abelian categories by means of Quillen model category structures.
- Investigating how closely this homology theory is related with K-theory
Acronym | OZR1424 |
---|---|
Status | Finished |
Effective start/end date | 1/01/07 → 31/12/07 |
Keywords
- mathematics
Flemish discipline codes in use since 2023
- Biological sciences
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