Urcohomologies and cohomologies of N-complexes

Naoya Hiramatsu
Goro C. Kato

For a general sequence of objects and morphisms, we construct two N-complexes. Then we can define cohomologies (i, k)-type of the N-complexes not only on a diagonal region but also in the triangular region. We obtain an invariant defined on a general sequence of objects and morphisms. For a short exact sequence of N-complexes, we get the associated long exact sequence generalizing the classical long exact sequence. Lastly, several properties of the vanishing cohomologies of N-complexes are given.

PORTUGALIAE MATHEMATICA

EUROPEAN MATHEMATICAL SOC

67

4

511

524

10.4171/PM/1875

https://doi.org/10.4171/PM/1875
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