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Some Remarks Concerning Categories and Subspaces

Published online by Cambridge University Press:  20 November 2018

J. R. Isbell
J. R. Isbell*
Affiliation:
Institute for Advanced Study
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This paper is primarily a brief elaboration on the axioms for a bicategory introduced in (3). From this point of view, the main aim is the development of the structure of certain systems of topological and uniform spaces, and the present paper merely points out some very general properties which follow from axioms so weak that they are satisfied by any system likely to be considered.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 563 - 577
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Buchsbaum, D., Exact categories and duality, Trans. Amer. Math. Soc, 80 (1955), 1–34.Google Scholar
2. Eilenberg, S. and MacLane, S., General theory of natural equivalences, Trans. Amer. Math. Soc, 58 (1945), 231–294.Google Scholar
3. Isbell, J., Algebras of uniformly continuous functions, submitted to Annals of Math.Google Scholar
4. Jònsson, B. and Tarski, A., Direct Decompositions of Finite Algebraic Systems (Notre Dame, 1947).Google Scholar
5. MacLane, S., Duality for groups, Bull. Amer. Math. Soc, 56 (1950), 485–516.Google Scholar