Geodesic
"Hausdorff distance" via conical cocompletion
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 1, article no. 3, 26 p.

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Stubbe, Isar. "Hausdorff distance" via conical cocompletion. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 51 (2010) no. 1, article  no. 3, 26 p. http://geodesic.mathdoc.fr/item/CTGDC_2010__51_1_51_0/

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

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

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

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

[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. | MR | Zbl

[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. | MR | Zbl

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

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

[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. | MR | Zbl

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

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

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

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

[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. | MR | EuDML | Zbl

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