The cartesian closed topological hull of the category of completely regular filterspaces

H. L. Bentley; E. Lowen-Colebunders

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1992)

  • Volume: 33, Issue: 4, page 345-360
  • ISSN: 1245-530X

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Bentley, H. L., and Lowen-Colebunders, E.. "The cartesian closed topological hull of the category of completely regular filterspaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 33.4 (1992): 345-360. <http://eudml.org/doc/91511>.

@article{Bentley1992,
author = {Bentley, H. L., Lowen-Colebunders, E.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {completely regular fiber spaces; -regular pseudotopological filterspaces; -closed domain},
language = {eng},
number = {4},
pages = {345-360},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The cartesian closed topological hull of the category of completely regular filterspaces},
url = {http://eudml.org/doc/91511},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Bentley, H. L.
AU - Lowen-Colebunders, E.
TI - The cartesian closed topological hull of the category of completely regular filterspaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1992
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 33
IS - 4
SP - 345
EP - 360
LA - eng
KW - completely regular fiber spaces; -regular pseudotopological filterspaces; -closed domain
UR - http://eudml.org/doc/91511
ER -

References

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  1. 1 J. Adamek, H. Herrlich & G. Strecker, Abstract and concrete categories. Wiley, New York, 1990. Zbl0695.18001MR1051419
  2. 2 H.L. Bentley, H. Herrlich & E. Lowen-Coleblinders, Convergence, J.Pure & Appl. Algebra68 (1990), 27-45. Zbl0741.54006MR1082777
  3. 3 H.L. Bentley, H. Herrlich & E. Lowen-Coleblinders, The category of Cauchy spaces is cartesian closed, Top. & Appl.27 (1987), 105-112. Zbl0634.54009MR911685
  4. 4 H.L. Bentley, H. Herrlich & R. Ori, Zero sets and complete regularity for nearness spaces, Categorical Topology and its relations to Analysis. Algebra and Combinatorics. World Scient. Publ., Singapore (1989), 446-461. MR1047917
  5. 5 H.L. Bentley, H. Herrlich& W. Robertson, Convenient categories for topologists, Comment. Math. Univ. Carolinae17 (1976), 207-227. Zbl0327.54001MR425890
  6. 6 E. Binz, Continuous convergence on C (X), Lecture Notes in Math.469, Springer (1975). Zbl0306.54003MR461418
  7. 7 H.L. Bentley & E. Lowen-Colebunders, Completely regular spaces, Comment. Math. Univ. Carolinae (to appear). Zbl0763.54016MR1118297
  8. 8 G. Bourdaud, Some cartesian closed topological categories of convergence spaces, Lecture Notes in Math.540, Springer (1976), 93-108. Zbl0332.54004MR493924
  9. 9 G. Choquet, Convergences, Ann.Univ. Grenoble Sect. Sci. Math. Phys.23 (1948), 57-112. Zbl0031.28101MR25716
  10. 10 H. Fischer, Limesraüme, Math. Ann.137 (1959), 269-303. Zbl0086.08803MR109339
  11. 11 A. Frölicher& A. Kriegl, Linear spaces and differentiation theory, J. Wiley & Sons, 1988. Zbl0657.46034MR961256
  12. 12 R. Gazig & D. Kent, Regular completions of Cauchy spaces via function algebras, Bull. Austr. Math. Soc.11 (1974), 77-88. Zbl0281.54001MR353232
  13. 13 H. Herrlich, Topological structures, Math. Centre Tracts (Amsterdam) 25 (1974), 59-122. Zbl0311.54003MR358706
  14. 14 H. Herrlich, Cartesian closed topological categories, Math. Colloq. Cape Town9 (1974), 1-16. Zbl0318.18011MR460414
  15. 15 H. Herrlich, E. Lowen-Colebunders & F. Schwarz, Improving Top: Prtop and Pstop (to appear). Zbl0753.18003MR1147916
  16. 16 H. Herrlich& L. Nel, Cartesian closed topological hulls, Proc. A.M.S.62 (1977), 215-222. Zbl0361.18006MR476831
  17. 17 M. Katetov, On continuity structures and spaces of mappings, Comment. Math. Univ. Carolinae6 (1965), 257-278. Zbl0137.42003MR193608
  18. 18 H. Keller, Die Limes-Uniformisierbarkeit der Limesraüme, Math. Ann. (1968), 334-341. Zbl0155.50302MR225280
  19. 19 D. Kent, K. M, G. Richardson & M. Schröder, Continuous convergence on C(X), Pacific J. Math.52 (1974), 271-279. Zbl0268.54003
  20. 20 E. Lowen-Colebunders, Function classes of Cauchy continuous maps. M. Dekker, New York, 1989. Zbl0697.54001MR1001563
  21. 21 L. Nel, Cartesian closed topological categories, Lecture Notes in Math.540, Springer (1976), 439-451. Zbl0336.54006MR447369
  22. 22 M. Schröder, Solid convergence spaces, Bull. Austr. Math. Soc.8 (1973), 443-459. Zbl0254.54003MR320995

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