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math.CT2001
The nonabelian bar resolution
Lucian M. Ionescu
The theory of parity quasi-complexes (PQC) is developed, preparing a set up for defining derived functors using resolutions in the nonabelian case. A homotopy structure on the cate…
math.CT1999
On Categorification
Lucian M. Ionescu
We review several known categorification procedures, and introduce a functorial categorification of group extensions with applications to non-abelian group cohomology. Categorifica…
math.CT1998
On Parity Complexes and Non-abelian Cohomology
Lucian M. Ionescu
To characterize categorical constraints - associativity, commutativity and monoidality - in the context of quasimonoidal categories, from a cohomological point of view, we define t…