Semi-Infinite Highest Weight Categories Ganzeer But devising such a criterion

But devising such a criterion has proved to be very difficult

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Semi-Infinite Highest Weight Categories Ganzeer But devising such a criterionWe develop axiomatics of highest weight categories and quasi hereditary algebras in order to incorporate two semi infinite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower finite. We also consider various more general sorts of stratified categories. In the upper finite cases, we give an alternative characterization of these categories in terms of based quasi hereditary algebras and based