Stubbe, Isar
"Hausdorff distance" via conical cocompletion
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 1 , p. 51-76
Zbl 1260.18009 | MR 2650579
URL stable : http://www.numdam.org/item?id=CTGDC_2010__51_1_51_0

Bibliographie

[1] [A. Akhvlediani, M. M. Clementino and W. Tholen, 2009] On the categorical meaning of Hausdorff and Gromov distances I, arxiv:0901.0618v1. Zbl 1226.18013 | MR 2610438

[2] [J. Bénabou, 1967] Introduction to bicategories, Lecture Notes in Math. 47, pp. 1-77. MR 220789

[3] [M. H. Albert and G. M. Kelly, 1988] The closure of a class of colimits, J. Pure Appl. Algebra 51, pp. 1-17. Zbl 0656.18004 | MR 941885

[4] [G.M. Kelly and V. Schmitt, 2005] Notes on enriched categories with colimits of some class, Theory Appl. Categ. 14, pp. 399-423. Zbl 1082.18004 | | MR 2211425

[5] [A. Kock, 1972] Monads for which structures are adjoint to units (Version 1), Aarhus Preprint Series 35.

[6] [A. Kock, 1995] Monads for which structures are adjoint to units, J. Pure Appl. Algebra 104, pp. 41-59. Zbl 0849.18008 | MR 1359690

[7] [F. W. Lawvere, 1973] Metric spaces, generalized logic, and closed categories, Rend. Sem. Mat. Fis. Milano 43, pp. 135-166. Also in: Reprints in Theory Appl. of Categ. 1, 2002. Zbl 0335.18006 | MR 352214

[8] [J. Paseka and J. Rosický, 2000] Quantales, pp. 245-262 in: Current research in operational quantum logic, Fund. Theories Phys. 111, Kluwer, Dordrecht. Zbl 0962.06017 | MR 1907163

[9] [K. I. Rosenthal, 1996] The theory of quantaloids, Pitman Research Notes in Mathematics Series 348, Longman, Harlow. Zbl 0845.18003 | MR 1427263

[10] [R. Street, 1981] Cauchy characterization of enriched categories Rend. Sem. Mat. Fis. Milano 51, pp. 217-233. Also in: Reprints Theory Appl. Categ. 4, 2004. Zbl 0538.18005 | MR 708046

[11] [R. Street, 1983] Enriched categories and cohomology, Questiones Math. 6, pp. 265-283. Zbl 0523.18007 | MR 700252

[12] [R. Street, 1983] Absolute colimits in enriched categories, Cahiers Topologie Géom. Différentielle 24, pp. 377-379. Numdam | Zbl 0532.18001 | | MR 749468

[13] [I. Stubbe, 2005] Categorical structures enriched in a quantaloid: categories, distributors and functors, Theory Appl. Categ. 14, pp. 1-45. Zbl 1079.18005 | | MR 2122823

[14] [I. Stubbe, 2006] Categorical structures enriched in a quantaloid: tensored and cotensored categories, Theory Appl. Categ. 16, pp. 283-306. Zbl 1119.18005 | | MR 2223039

[15] [V. Schmitt, 2006] Flatness, preorders and general metric spaces, to appear in Georgain Math. Journal. See also: arxiv:math/0602463vl.

[16] [V. Zöberlein, 1976] Doctrines on 2-categories, Math. Z. 148, pp. 267-279. Zbl 0311.18005 | | MR 424896

[17] [R. F. C. Walters, 1981] Sheaves and Cauchy-complete categories, Cahiers Topol. Géom. Différ. Catég. 22, pp. 283-286. Numdam | Zbl 0495.18009 | | MR 649076