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Articles

Lax comma categories of ordered sets

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Pages 145-159 | Received 27 Dec 2022, Published online: 01 Nov 2023

References

  • J. Adámek, L. Sousa, and J. Velebil, Kan injectivity in order-enriched categories, Math. Structures Comput. Sci. 25 (2015), 6–45. doi: 10.1017/S0960129514000024
  • F. Borceux and G. Janelidze, Galois theories, Cambridge Studies in Advanced Mathematics, Vol. 72, Cambridge University Press, Cambridge, 2001.
  • A. Carboni, G. Janelidze, G.M. Kelly, and R. Paré, On localization and stabilization for factorization systems, Appl. Categ. Structures 5(1) (1997), 1–58. doi: 10.1023/A:1008620404444
  • M.M. Clementino and D. Hofmann, Triquotien maps vis ultrafilter convergence, Proc. Amer. Math. Soc. 130 (2002), 3423–3431. doi: 10.1090/S0002-9939-02-06472-9
  • M.M. Clementino and I. López Franco, Lax orthogonal factorisation systems, Adv. Math. 302 (2016), 458–528. doi: 10.1016/j.aim.2016.07.028
  • M.M. Clementino and I. López Franco, Lax orthogonal factorisations in ordered structures, Theory Appl. Categ. 35(36) (2020), 1379–1423.
  • M.M. Clementino and F. Lucatelli Nunes, Lax comma 2-categories and admissible 2-functors, Theory Appl. Categ., to appear. arXiv 2002.03132, 2020.
  • H. Herrlich, Topological functors, General Top. Appl. 4 (1974), 125–142. doi: 10.1016/0016-660X(74)90016-6
  • G. Janelidze, Pure Galois theory in categories, J. Algebra 132(2) (1990), 270–286. doi: 10.1016/0021-8693(90)90130-G
  • G. Janelidze and G.M. Kelly, The reflectiveness of covering morphisms in algebra and geometry, Theory Appl. Categ. 3(6) (1997), 132–159.
  • G. Janelidze and M. Sobral, Finite preorders and topological descent I, J. Pure Appl. Algebra 175 (2002), 187–205. doi: 10.1016/S0022-4049(02)00134-2
  • G. Janelidze, M. Sobral, and W. Tholen, Beyond Barr exactness: Effective descent morphisms, In: Categorical foundations, pp. 359–405, Encyclopedia Math. Appl., Vol. 97. Cambridge Univ. Press, Cambridge, 2004.
  • G. Janelidze and W. Tholen, How algebraic is the change-of-base functor? In: Proceedings Conference Category Theory, Como 1990, Lecture Notes in Mathematics Vol. 1488, pp. 174–186, Springer, Berlin, 1991.
  • G. Janelidze and W. Tholen, Facets of descent I, Appl. Categ. Structures 2 (1994), 245–281. doi: 10.1007/BF00878100
  • G.M. Kelly, Basic Concepts of Enriched Category Theory, Repr. Theory Appl. Categ. 10 (2005), 1–136.
  • F. Lucatelli Nunes, Pseudo-Kan extensions and descent theory, Theory Appl. Categ. 33(15) (2018), 390–444.
  • S. Mac Lane, Categories for the working mathematician, second edition, Graduate Texts in Mathematics, Vol. 5, Springer-Verlag, New York, 1998.
  • J. Reiterman and W. Tholen, Effective descent maps of topological spaces, Top. Appl. 57 (1994), 53–69. doi: 10.1016/0166-8641(94)90033-7
  • R. Street, W. Tholen, M. Wischnewsky, and H. Wolff, Semi-topological functors III: Lifting of monads and adjoint functors, J. Pure Appl. Algebra 16 (1980), 299–314. doi: 10.1016/0022-4049(80)90035-3
  • W. Tholen, Injectives, exponentials, and model categories, In: Abstracts of the International Summer Conference in Category Theory, Como, Italy, pp. 183–190, 2000.

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