category of fractions
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2002 ◽  
Vol 25 (3) ◽  
pp. 397-403 ◽  
Author(s):  
E. Giuli ◽  
K.A. Hardie ◽  
J.J.C. Vermeulen


1991 ◽  
Vol 40 (3) ◽  
pp. 265-274 ◽  
Author(s):  
K.A. Hardie ◽  
K.H. Kamps ◽  
T. Porter


1980 ◽  
Vol 23 (4) ◽  
pp. 425-427 ◽  
Author(s):  
Sribatsa Nanda

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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