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. Mantovani
Secondo
;
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.
compactly generated spaces; locally cartesian closed categories; Mathematics Subject Classifications (1991): 18B30, 54D50, 18D15; regular and exact categories
Settore MAT/03 - Geometria
Settore MAT/02 - Algebra
1995
Article (author)
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/178531
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 3
  • ???jsp.display-item.citation.isi??? 2
social impact