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A Note on the Universe of a Category of Fractions

Published online by Cambridge University Press:  20 November 2018

Sribatsa Nanda
Sribatsa Nanda*
Affiliation:
Mathematics Department, Regional Engineering College, Rourkela-8 (Orissa), India 769008
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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).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 4 , 01 December 1980 , pp. 425 - 427
Copyright
Copyright © Canadian Mathematical Society 1980

References

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4. Schubert, H., Categories, Springer, Berlin (1972).Google Scholar
5. Switzer, R. M., Algebraic Topology-Homotopy and Homology, Springer, Berlin (1975).Google Scholar