The dominion of Isbell

Mitchell, Barry

doi:10.1090/S0002-9947-1972-0294441-0

The dominion of Isbell
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by Barry Mitchell

Trans. Amer. Math. Soc. 167 (1972), 319-331

DOI: https://doi.org/10.1090/S0002-9947-1972-0294441-0

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Abstract:

A well-known characterization of epimorphisms in the category of rings with identity is imitated to give a similar characterization of epimorphisms in the category of small pre-additive categories. From this one deduces Isbell’s “Zigzag Theorem” concerning epimorphisms in Cat.

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