Regularity of the category of Kelley spaces
(1995) Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science — Vol. 3, n° 4, p. 357-361 (1995)
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- 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.
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Citations
Cagliari, F., Mantovani, S., & Vitale, E. (1995). Regularity of the category of Kelley spaces. Applied Categorical Structures : a journal devoted to applications of categorical methods in algebra, analysis, order, topology and computer science, 3(4), 357-361. https://doi.org/10.1007/BF00872904 (Original work published 1995)