• Corpus ID: 235187064

The left heart and exact hull of an additive regular category

  title={The left heart and exact hull of an additive regular category},
  author={Ruben Henrard and Sondre Kvamme and Adam-Christiaan van Roosmalen and Sven-Ake Wegner},
Quasi-abelian categories are abundant in functional analysis and representation theory. It is known that a quasi-abelian category E is a cotilting torsionfree class of an abelian category. In fact, this property characterizes quasi-abelian categories. This ambient abelian category is derived equivalent to the category E, and can be constructed as the heart LH(E) of a t-structure on the bounded derived category D(E) or as the localization of the category of monomorphisms in E. However, there are… 
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