Exponential objects in the construct 𝑃𝑅𝐴𝑃
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 38 (1997) no. 4, pp. 259-276. 
@article{CTGDC_1997__38_4_259_0,
     author = {Lowen, E. and Lowen, R. and Verbeeck, C.},
     title = {Exponential objects in the construct $\mathit {PRAP}$},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {259--276},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {38},
     number = {4},
     year = {1997},
     mrnumber = {1487961},
     zbl = {0888.54015},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_1997__38_4_259_0/}
}
TY  - JOUR
AU  - Lowen, E.
AU  - Lowen, R.
AU  - Verbeeck, C.
TI  - Exponential objects in the construct $\mathit {PRAP}$
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 1997
SP  - 259
EP  - 276
VL  - 38
IS  - 4
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://www.numdam.org/item/CTGDC_1997__38_4_259_0/
LA  - en
ID  - CTGDC_1997__38_4_259_0
ER  - 
%0 Journal Article
%A Lowen, E.
%A Lowen, R.
%A Verbeeck, C.
%T Exponential objects in the construct $\mathit {PRAP}$
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 1997
%P 259-276
%V 38
%N 4
%I Dunod éditeur, publié avec le concours du CNRS
%U http://www.numdam.org/item/CTGDC_1997__38_4_259_0/
%G en
%F CTGDC_1997__38_4_259_0
Lowen, E.; Lowen, R.; Verbeeck, C. Exponential objects in the construct $\mathit {PRAP}$. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 38 (1997) no. 4, pp. 259-276. http://www.numdam.org/item/CTGDC_1997__38_4_259_0/

[1] G. Choquet, "Convergences", Ann. Univ. Grenoble Sect. Sci. Math. Phys. 23 (1948), 57-112. | EuDML | Numdam | MR | Zbl

[2] H. Herrlich, "Cartesian closed topological categories", Math. Colloq. Univ. Cape Town 9 (1974), 1-16. | MR | Zbl

[3] H. Herrlich, "Categorical topology 1971-1981", Proc. Fifth Prague Topol. Symp. 1981, Heldermann Verlag, Berlin (1983), 279-383. | MR | Zbl

[4] E. Lowen, R. Lowen, "A quasitopos containing CONV and MET as full subcategories", Internat. J. Math. & Math. Sci. 11:3 (1988), 417-438. | EuDML | MR | Zbl

[5] E. Lowen, R. Lowen, "Topological quasitopos hulls of categories containing topological and metric objects", Cah. Top. Géom. Diff. Catég. 30:3 (1989), 213-228. | EuDML | Numdam | MR | Zbl

[6] E. Lowen, G. Sonck, "Exponential objects and cartesian closedness in the construct PRTOP ", Appl. Categ. Struct. 1 (1993), 345-360. | MR | Zbl

[7] R. Lowen, "Approach spaces: a common supercategory of TOP and MET", Math. Nachr. 141 (1989), 183-226. | MR | Zbl

[8] R. Lowen, Approach spaces: the missing link in the topologies-uniformities-metrics triad, Oxford Mathematical Monographs, Oxford University Press (1997). | MR | Zbl

[9] L.D. Nel, "Initially structured categories and cartesian closedness", Canad. J. Math. 27 (1975), 1361-1377. | MR | Zbl

[10] L.D. Nel, "Cartesian closed topological categories", Springer Lecture Notes in Math. 540 (1976), 439-451. | MR | Zbl

[11] L.D. Nel, "Cartesian closed coreflective hulls", Quaestiones Math. 2 (1977), 269-383. | MR | Zbl

[12] G. Richter," More on exponential objects in categories of pretopological spaces", preprint. | MR | Zbl

[13] F. Schwarz, "Powers and exponential objects in initially structured categories and applications to categories of limit spaces", Quaest. Math. 6 (1983), 227-254. | MR | Zbl