We show that the cartesian closed category of compactly generated Hausdorff spaces is regular, but is neither exact, nor locally cartesian closed. In fact we find a coequalizer of an equivalence relation which is not stable under pullback.
Regularity of the category of Kelley spaces / F. Cagliari, S. Mantovani, E. Vitale. - In: APPLIED CATEGORICAL STRUCTURES. - ISSN 0927-2852. - 3:4(1995), pp. 357-361.
Regularity of the category of Kelley spaces
S. MantovaniSecondo
;
1995
Abstract
We show that the cartesian closed category of compactly generated Hausdorff spaces is regular, but is neither exact, nor locally cartesian closed. In fact we find a coequalizer of an equivalence relation which is not stable under pullback.File in questo prodotto:
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