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The paper http://www.math.uiuc.edu/~dan/cv.xhtml#binary comes close to answering your question, but instead of yielding an exact category $\mathcal D$ as requested, it yields a split pair of exact categories. That's just as good, I think.
The paper http://www.math.uiuc.edu/~dan/cv.xhtml#binary comes close to answering your question, but instead of yielding an exact category $\mathcal D$ as requested, it yields a split pair of exact categories.
The paper http://www.math.uiuc.edu/~dan/cv.xhtml#binary comes close to answering your question, but instead of yielding an exact category $\mathcal D$ as requested, it yields a split pair of exact categories. That's just as good, I think.
The paper http://www.math.uiuc.edu/~dan/cv.xhtml#binary comes close to answering your question, but instead of yielding an exact category $\mathcal D$ as requested, it yields a split pair of exact categories.