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A quasi-abelian category is an additive category admitting the kernels and the cokernels which satisfies the following conditions:
(i) the strict epimorphisms are stable by base changes,
(ii) the strict monomorphisms are stable by co-base changes
This is definition 2.1.1 in (Kashiwara).
The category of bornological vector spaces over the complex numbers is quasi-abelian (Prosmans-Schneiders 00)
The category of bornological abelian groups is quasi-abelian (Bambozzi 14).
Masaki Kashiwara, Equivariant derived category and
representation of real semisimple Lie groups_, pdf
Fabienne Prosmans, Jean-Pierre Schneiders, A homological study of bornological spaces, December 2000, Prepublications Mathematiques de lâ€™Universite Paris 13, 46 (pdf)
Federico Bambozzi, section 1 of On a generalization of affinoid varieties (arXiv:1401.5702)
Last revised on July 30, 2018 at 07:39:42. See the history of this page for a list of all contributions to it.