Further development of semi-abelian homology theory

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
AcronymOZR1424
StatusFinished
Effective start/end date1/01/0731/12/07

Keywords

  • mathematics

Flemish discipline codes in use since 2023

  • Biological sciences

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