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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Intersections of reflective subcategories


Authors: J. Adámek and J. Rosický
Journal: Proc. Amer. Math. Soc. 103 (1988), 710-712
MSC: Primary 18A40; Secondary 18B30, 54B30
DOI: https://doi.org/10.1090/S0002-9939-1988-0947643-9
MathSciNet review: 947643
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Abstract: It is shown that the class of full reflective subcategories of $ \mathcal{Fq}$ (and of other concrete categories) is not closed under intersections. This answers a question raised by Herrlich in 1967. A natural example of nonreflective intersection is presented in the category of bitopological spaces.


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DOI: https://doi.org/10.1090/S0002-9939-1988-0947643-9
Article copyright: © Copyright 1988 American Mathematical Society