no. 4
The cartesian closed hull of the category of approach spaces
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 42 (2001) no. 4, pp. 242-260. 
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     title = {The cartesian closed hull of the category of approach spaces},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {242--260},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {42},
     number = {4},
     year = {2001},
     mrnumber = {1876866},
     zbl = {0999.18006},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_2001__42_4_242_0/}
}
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Lowen-Colebunders, E.; Lowen, R.; Nauwelaerts, M. The cartesian closed hull of the category of approach spaces. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 42 (2001) no. 4, pp. 242-260. http://www.numdam.org/item/CTGDC_2001__42_4_242_0/

[1] J. Adámek, H. Herrlich and G.E. Strecker, Abstract and concrete categories, Wiley, New York et al., (1990). | MR | Zbl

[2] J. Adámek and J. Reiterman, Cartesian closed hull for metric spaces, Comment. Math. Univ. Carolinae 31,1(1990), 1-6. | MR | Zbl

[3] Ph. Antoine, Étude élémentaire d'ensembles structurés, Bull. Soc. Math. Belge XVIII 2 et 4 (1966).

[4] G. Bourdaud, Espaces d'Antoine et semi-espaces d'Antoine, Cahiers Topol. Géom. Diff. Cat. 16 (1975), 107-133. | Numdam | MR | Zbl

[5] G. Bourdaud, Some cartesian closed topological categories of convergence spaces, in: E. Binz and H. Herrlich (eds.), Categorical Topology (Proc. Mannheim 1975), Lecture Notes Math. 540, Springer, Berlin et al. (1976), 93-108. | MR | Zbl

[6] H. Herrlich, Topological improvements of categories of structured sets, Topology Appl. 27 (1987), 145-155. | MR | Zbl

[7] H. Herrlich and L.D. Nel, Cartesian closed topological hulls, Proc. Amer. Math. Soc. 62 (1977), 215-222. | MR | Zbl

[8] E. Lowen and R. Lowen, A quasitopos containing CONV and MET as full subcategories, Intern. J. Math. & Math. Sci.11 (1988), 417-438. | MR | Zbl

[9] E. Lowen and R. Lowen, Topological quasitopos hulls of categories containing topological and metric objects, Cahiers Topol. Géom. Diff. Cat. 30,3 (1989), 213-228. | Numdam | MR | Zbl

[10] R. Lowen, Approach Spaces: The missing link in the Topology-Uniformity-Metric Triad, Oxford Mathematical Monographs, Oxford University Press (1997). | MR | Zbl

[11] A. Machado, Espaces d'Antoine et pseudo-topologies, Cahiers Topol. Géom. Diff. Cat. 14-3 (1973), 309-327. | EuDML | Numdam | MR | Zbl

[12] F. Schwarz and S. Weck-Schwarz, Internal Desciription of Hulls: A Unifying Approach, Category Theory at Work, H. Herrlich and H.-E. Porst (eds), Heldermann Verlag Berlin (1991), 35-45. | MR | Zbl