Exponential objects in the construct 𝑃𝑅𝐴𝑃

E. Lowen; R. Lowen; C. Verbeeck

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1997)

  • Volume: 38, Issue: 4, page 259-276
  • ISSN: 1245-530X

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Lowen, E., Lowen, R., and Verbeeck, C.. "Exponential objects in the construct $\mathit {PRAP}$." Cahiers de Topologie et Géométrie Différentielle Catégoriques 38.4 (1997): 259-276. <http://eudml.org/doc/91595>.

@article{Lowen1997,
author = {Lowen, E., Lowen, R., Verbeeck, C.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {exponential object; pre-approach space; premetric space; pretopological space; Cartesian closedness},
language = {eng},
number = {4},
pages = {259-276},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Exponential objects in the construct $\mathit \{PRAP\}$},
url = {http://eudml.org/doc/91595},
volume = {38},
year = {1997},
}

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
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 38
IS - 4
SP - 259
EP - 276
LA - eng
KW - exponential object; pre-approach space; premetric space; pretopological space; Cartesian closedness
UR - http://eudml.org/doc/91595
ER -

References

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  2. [2] H. Herrlich, "Cartesian closed topological categories", Math. Colloq. Univ. Cape Town9 (1974), 1-16. Zbl0318.18011MR460414
  3. [3] H. Herrlich, "Categorical topology 1971-1981", Proc. Fifth Prague Topol. Symp. 1981, Heldermann Verlag, Berlin (1983), 279-383. Zbl0502.54001MR698425
  4. [4] E. Lowen, R. Lowen, "A quasitopos containing CONV and MET as full subcategories", Internat. J. Math. & Math. Sci.11:3 (1988), 417-438. Zbl0672.54003MR947271
  5. [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. Zbl0706.18002MR1029625
  6. [6] E. Lowen, G. Sonck, "Exponential objects and cartesian closedness in the construct PRTOP ", Appl. Categ. Struct.1 (1993), 345-360. Zbl0796.54019MR1268508
  7. [7] R. Lowen, "Approach spaces: a common supercategory of TOP and MET", Math. Nachr.141 (1989), 183-226. Zbl0676.54012MR1014427
  8. [8] R. Lowen, Approach spaces: the missing link in the topologies-uniformities-metrics triad, Oxford Mathematical Monographs, Oxford University Press (1997). Zbl0891.54001MR1472024
  9. [9] L.D. Nel, "Initially structured categories and cartesian closedness", Canad. J. Math.27 (1975), 1361-1377. Zbl0294.18002MR393183
  10. [10] L.D. Nel, "Cartesian closed topological categories", Springer Lecture Notes in Math. 540 (1976), 439-451. Zbl0336.54006MR447369
  11. [11] L.D. Nel, "Cartesian closed coreflective hulls", Quaestiones Math.2 (1977), 269-383. Zbl0366.18008MR480687
  12. [12] G. Richter," More on exponential objects in categories of pretopological spaces", preprint. Zbl0884.18003MR1478523
  13. [13] F. Schwarz, "Powers and exponential objects in initially structured categories and applications to categories of limit spaces", Quaest. Math.6 (1983), 227-254. Zbl0521.54006MR700250

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