Topological quasitopos hulls of categories containing topological and metric objects

E. Lowen; R. Lowen

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1989)

  • Volume: 30, Issue: 3, page 213-228
  • ISSN: 1245-530X

How to cite

top

Lowen, E., and Lowen, R.. "Topological quasitopos hulls of categories containing topological and metric objects." Cahiers de Topologie et Géométrie Différentielle Catégoriques 30.3 (1989): 213-228. <http://eudml.org/doc/91440>.

@article{Lowen1989,
author = {Lowen, E., Lowen, R.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {pseudo-approach space; topological quasitopos hulls; category of approach spaces; convergence approach spaces; bireflective subcategory},
language = {eng},
number = {3},
pages = {213-228},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Topological quasitopos hulls of categories containing topological and metric objects},
url = {http://eudml.org/doc/91440},
volume = {30},
year = {1989},
}

TY - JOUR
AU - Lowen, E.
AU - Lowen, R.
TI - Topological quasitopos hulls of categories containing topological and metric objects
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1989
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 30
IS - 3
SP - 213
EP - 228
LA - eng
KW - pseudo-approach space; topological quasitopos hulls; category of approach spaces; convergence approach spaces; bireflective subcategory
UR - http://eudml.org/doc/91440
ER -

References

top
  1. 1 J. Adamek & J. Reiterman.On the quasitopos hull of the categories of uniform and merotopic spaces, Int. Conf. Cat. Topol. L'Aquila (1986). Zbl0653.18007MR852312
  2. 2 G. Bourdaud.Espaces d'Antoine et semi-espaces d'Antoine, Cahiers Top. et Géom. Diff. XVI-2 (1975), 107-133. Zbl0315.54005MR394529
  3. 3 G. Bourdaud, Some cartesian closed topological categories of convergence spaces. Lecture Notes in Math.540, Springer (1976), 93-108. Zbl0332.54004MR493924
  4. 4 E.J. Dubuc.Concrete quasitopoi, Lecture Notes in Math.753, Springer (1979). 239-254. Zbl0423.18006MR555548
  5. 5 H. Herrlich, Topological structures, Math. Centre Tracts25 (1974). 59-122. Zbl0311.54003MR358706
  6. 6 H. Herrlich, Topological improvements of categories of structured sets. Top. & Appl.27 (1987), 145-155. Zbl0632.54008MR911688
  7. 7 H. Herrlich.Hereditary topological constructs. Preprint. Zbl0662.18003
  8. 8 H. Herrlich & L.D. Nel.Cartesian closed topological hulls, Proc. A. M. S.62 (1977), 215-222. Zbl0361.18006MR476831
  9. 9 H. Herrlich & G. Strecker.Category, Theory, Heldermann. Zbl0437.18001MR571016
  10. 10 H.J. Kowalsky, Limesraüme und Komplettierung, Math. Nachr.12 (1954). 301-340. Zbl0056.41403MR73147
  11. 11 C. Kuratowski.Sur les espaces complets. Fund. Math.15 (1930). 301-309. Zbl56.1124.04JFM56.1124.04
  12. 12 E & R. Lowen.A quasitopos containing CONV and MET as full subcategories. Intern. J. Math. & Math. Sci.11 (1988), 417-438. Zbl0672.54003MR947271
  13. 13 R. Lowen.Approach spaces: a common supercategory of TOP and MET. Math. Nachr.141 (1989), 183-226. Zbl0676.54012MR1014427
  14. 14 R. Lowen, Kuratowski's measure of non-compactness revisited. Quater. J. Math. Oxford39 (1988), 235-254. Zbl0672.54025MR947504
  15. 15 R. Lowen.Cantor's Kettenzussamenhang revisited, Preprint. 
  16. 16 L.D. Nel.Cartesian closed topological categories. Lecture Notes in Math.540. Springer (1976), 439-451. Zbl0336.54006MR447369
  17. 17 L.D. Nel.Topological universes and smooth Gelfand-Naimark duality. Contemporary Math.30 (1984). 244-276. Zbl0548.46054MR749775
  18. 18 J. Penon.Sur les quasi-topos. Cahiers Top. et Géom. Diff.XVIII (1977). 181-218. Zbl0401.18002MR480693
  19. 19 G.E. Preuss.Allgemeine Topologie. Hochschultext. Springer, 1972. Zbl0242.54001MR370455
  20. 20 O. Wyler.Are there topoi in Topology? Lecture Notes in Math.540. Springer (1976). 699-719. Zbl0354.54001MR458346

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.