Note on universal topological completion

Rudolf-E. Hoffmann

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1979)

  • Volume: 20, Issue: 2, page 199-216
  • ISSN: 1245-530X

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Hoffmann, Rudolf-E.. "Note on universal topological completion." Cahiers de Topologie et Géométrie Différentielle Catégoriques 20.2 (1979): 199-216. <http://eudml.org/doc/91214>.

@article{Hoffmann1979,
author = {Hoffmann, Rudolf-E.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {factorization of relative cones; universal topological completion; Mac Neille completion; comma construction; topologically-algebraic functors; category of sober spaces},
language = {eng},
number = {2},
pages = {199-216},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Note on universal topological completion},
url = {http://eudml.org/doc/91214},
volume = {20},
year = {1979},
}

TY - JOUR
AU - Hoffmann, Rudolf-E.
TI - Note on universal topological completion
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1979
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 20
IS - 2
SP - 199
EP - 216
LA - eng
KW - factorization of relative cones; universal topological completion; Mac Neille completion; comma construction; topologically-algebraic functors; category of sober spaces
UR - http://eudml.org/doc/91214
ER -

References

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  2. 2 Antoine, Ph., Etude élémentaire des catégories d'ensembles structurés, Bull. Soc. Math.Belgique18 (1966), 142- 164 et 387- 414. Zbl0192.10105
  3. 3 Bourbaki, N., Théorie des ensembles. Ch. 3: Ensembles ordonnés, HermannParis, 1963. Zbl0125.00603MR154814
  4. 4 Brummer, G.C.L., A categorical study of initiality in uniform topology. Ph. D. Thesis, Cape Town, 1971, 
  5. 5 Davis, A.S., Indexed systems of neighborhoods for general topological spaces, Amer. Math. Monthly68 (1961), 886-893. Zbl0106.15504MR214017
  6. 6 Herrlich, H., Topological functors, Gen. Topol. and Appl.4 (1974), 125. Zbl0288.54003MR343226
  7. 7 Herrlich, H., Factorization of morphisms B → FA, Math. Z.114 (1975), 180 - 186. Zbl0182.34502
  8. 8 Herrlich, H., Initial completions, Math. Z.150 (1976), 101-110. Zbl0319.18001MR437614
  9. 9 Hoffmann, R.-E., (E, M )-universally topological functors, Habilitationsschrift, Düsseldorf, 1974. 
  10. 10 Hoffmann, R.-E., Semi-identifying lifts and a generalization of the duality theorem for topological functors, Math. Nachr.74 (1976), 295 - 307. Zbl0345.18002MR428256
  11. 11 Hoffmann, R.-E., Factorization of cones, Math. Nachr. Zbl0412.18001MR536426
  12. 12 Hoffmann, R.-E., Topological functors admitting generalized Cauchy-completions. In: Proc. Intern. Conf. Categ. Topology (Mannheim1975), Lecture Notes in Math.540, Springer (1976), 286- 344. Zbl0421.18002MR644648
  13. 13 Hoffmann, R.-E., Topological completion of faithful functors (unpublished). Summary (= Introduction) in SeminarberichtFern-UniversitätHagen1 (1976). 
  14. 14 Hoffmann, R.-E., Note on semi-topological functors, Math. Z.160 (1978), 69. Zbl0386.18003MR472960
  15. 15 Hong, S.S., Categories in which every mono-source is initial, Kyungpook Math. J.15 (1975), 133 - 139. Zbl0309.18004MR369466
  16. 16 Hong, Y.H., Studies on categories of universal topological algebras, Ph. D. thesis, McMaster University, Hamilton, Ont., 1974. 
  17. 17 Hunsaker, W.N. and Sharma, P.L., Universally initial functors in topology (manuscript), Southern Illinois University, Carbondale, 1974. 
  18. 18 Kowalsky, H.J., Verbandstheoretische Kennzeichnung topologischer Raüme, Math. Nachr.21 (1960), 297- 318. Zbl0093.36201MR119186
  19. 19 Ringleb, P., Untersuchungen über die Kategorie der geordneten Mengen, Dissertation, F. Univ., Berlin, 1969. 
  20. 20 Shanin, N.A., On separation in topological spaces, C.R. (Doklady) Acad. Sc. U.R.S.S. (N.S.)38 (1943), 110-113 (Math. R. 5-46). Zbl0061.39607MR8688
  21. 21 Taylor, J.C., Weak families of maps, Canad. Math. Bull.8 (1965), 771-781. Zbl0137.41902MR212069
  22. 22 Wyler, O., Are there topoi in Topology? In Proc. Int. Conf. Categ. Topology (Mannheim1975), Lecture Notes in Math.540, Springer (1976), 699 - 719. Zbl0354.54001MR458346

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