Completion and closure

David Holgate

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2000)

  • Volume: 41, Issue: 2, page 101-119
  • ISSN: 1245-530X

How to cite

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Holgate, David. "Completion and closure." Cahiers de Topologie et Géométrie Différentielle Catégoriques 41.2 (2000): 101-119. <http://eudml.org/doc/91628>.

@article{Holgate2000,
author = {Holgate, David},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {completion; closure operator; absolutely closed object; reflexivity; absolute closure; injectivity},
language = {eng},
number = {2},
pages = {101-119},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Completion and closure},
url = {http://eudml.org/doc/91628},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Holgate, David
TI - Completion and closure
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2000
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 41
IS - 2
SP - 101
EP - 119
LA - eng
KW - completion; closure operator; absolutely closed object; reflexivity; absolute closure; injectivity
UR - http://eudml.org/doc/91628
ER -

References

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  1. [AHS90] J. Adámek, H. Herrlich, and G. Strecker.Abstract and concrete categories. Whiley, 1990. Zbl0695.18001MR1051419
  2. [Bac73] P.D. Bacsich.An epireflector for universal theories. Canad. Math. Bull., 16:167-171, 1973. Zbl0265.08008MR335589
  3. [Bar68] S. Baron.Note on epi in To. Canad. Math. Bull., 11:503-504, 1968. Zbl0167.20702MR235003
  4. [BB67] B. Banaschewski and G. Bruns.Categorical characterisation of the Mac Neille completion. Archiv Math, 18:369-377, 1967. Zbl0157.34101MR221984
  5. [BG92] G.C.L. Brümmer and E. Giuli.A categorical concept of completion of objects. Comment. Math. Univ. Carolinae, 33(1):131-147, 1992. Zbl0760.18005MR1173755
  6. [BGH92] G.C.L. Brümmer, E. Giuli, and H. Herrlich.Epireflections which are completions. Cahiers Topologie Geom. Differentielle Categoriques, 33:7193, 1992. Zbl0760.18004MR1163428
  7. [BGH97] G.C.L. Brümmer, E. Giuli, and D. Holgate.Direct reflections. Mathematik Arbeitspapiere (Universität Bremen), 48:77-86, 1997. 
  8. [BH78] L. Bentley and H. Herrlich.Completion as reflection. Comment. Math. Univ. Carolinae, 19:541-568, 1978. Zbl0407.54020MR508960
  9. [BHP97] B. Banaschewski, S.S. Hong, and A. Pultr.On the completion of nearness frames. Preprint, 1997. Zbl0931.54025MR1658467
  10. [Bir37] G. Birkhoff.The meaning of completeness. Annals of Mathematics, 38:5760, 1937. Zbl0016.08503MR1503324JFM63.0568.01
  11. [CGT96] M M. Clementino, E.Giuli, and W. Tholen. Topology in a category: Compactness. Portugaliae Math., 53:397-433, 1996. Zbl0877.18002MR1432147

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