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A Note on the Universe of a Category of Fractions
Published online by Cambridge University Press: 20 November 2018
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Let be a small -category where is a fixed Grothendieck universe, i.e., the objects of form a set which is a subset of and, for every pair of objects X, Y of the set is an element of . If S is a set of morphisms of , then, in general, the category of fractions [S- 1] would belong to a higher universe ([4], p. 256).
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- Copyright © Canadian Mathematical Society 1980
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