The heart of the Banach spaces

  title={The heart of the Banach spaces},
  author={Sven-Ake Wegner},
  journal={Journal of Pure and Applied Algebra},
  • Sven-Ake Wegner
  • Published 2016
  • Mathematics
  • Journal of Pure and Applied Algebra
Abstract Consider an exact category in the sense of Quillen. Assume that in this category every morphism has a kernel and that every kernel is an inflation. In their seminal 1982 paper, Beĭlinson, Bernstein and Deligne consider in this setting a t-structure on the derived category and remark that its heart can be described as a category of formal quotients. They further point out that the category of Banach spaces is an example, and that here a similar category of formal quotients was studied… Expand
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