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math.AG2024
Injectives obstruct Fourier-Mukai functors
Felix Küng
We use injectives as a big tilting object to obstruct liftability of exact functors to the $\dg$-level. We use the inclusion of injectives into the canonical heart as a replacement…
math.KT2024
Algebraic for unpointed homotopy Categories
Felix Küng
We introduce the notion of Grothendieck heaps for unpointed Waldhausen categories and unpointed stable -categories. This allows an extension of the studies of $\mathrm{K}_0…
math.CT2024
Structures on the Category of N-Complexes
Felix Küng
The theory of -complexes is a generalization of both ordinary chain complexes and graded objects. Hence it yields deeper insight in the structure of these and offers a broader r…