Universality of Categories of Coalgebras

作者:Koubek Vaclav; Sichler Jiri*; Trnkova Vera
来源:Applied Categorical Structures, 2011, 19(6): 939-957.
DOI:10.1007/s10485-010-9232-1

摘要

Under GCH, a set functor F does not preserve finite unions of non-empty sets if and only if the category Coalg F of all F-coalgebras is universal. Independently of GCH, we show that for any non-accessible functor F preserving intersections, the category Coalg F has a large discrete full subcategory, and we give an example of a category of F-coalgebras that is not universal, yet has a large discrete full subcategory.

  • 出版日期2011-12

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