nLab quasi-pointed category



While a category is a called a pointed category if it has a zero object, i.e. if it has an initial object and a terminal object and both are isomorphic, for a quasi-pointed category the last condition is relaxed.


A category is quasi-pointed if it has an initial object 00, a final object 11 and its unique morphism 010\to 1 is a monomorphism.


  • D. Bourn, 3×33\times 3 lemma and protomodularity, J. algebra 236 (2001), 778–795

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