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On topologies in a topos

Published online by Cambridge University Press:  17 April 2009

Javad Tavakoli
Javad Tavakoli
Affiliation:
Department of Mathematics, University of Shahid Beheshty, Eveen, Tehran, Iran
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Abstract

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Johnstone and Paré have each given a way of constructing the largest topology allowing a given object to be a sheaf. In this paper we use the notion of a partial map to construct such a topology in a simple way.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 41 , Issue 3 , June 1990 , pp. 387 - 392
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Johnstone, P., Topos Theory (LMS Mathematical Monographs No.10, Academic Press, New York, 1977).Google Scholar
[2]Paré, R. ‘Indexed categories and generated topologies’, J. Pure Appl. Algebra 19 (1980), 385–400.CrossRefGoogle Scholar
[3]Paré, R. and Schumacher, D., Abstract Families and the Adjoint Functor Theorems, Lecture Notes in Mathematics, 661 (Springer-Verlag, Berlin, Heidelberg, New York, 1978).Google Scholar