An approach to a dual of regular closure operators

C. Castellini; J. Koslowski; G. E. Strecker

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1994)

  • Volume: 35, Issue: 2, page 109-128
  • ISSN: 1245-530X

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Castellini, C., Koslowski, J., and Strecker, G. E.. "An approach to a dual of regular closure operators." Cahiers de Topologie et Géométrie Différentielle Catégoriques 35.2 (1994): 109-128. <http://eudml.org/doc/91538>.

@article{Castellini1994,
author = {Castellini, C., Koslowski, J., Strecker, G. E.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {closure subset; topological space; lattice of subobjects; closure operator; -category; factorization; global Galois connection; Salbany regular closure},
language = {eng},
number = {2},
pages = {109-128},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {An approach to a dual of regular closure operators},
url = {http://eudml.org/doc/91538},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Castellini, C.
AU - Koslowski, J.
AU - Strecker, G. E.
TI - An approach to a dual of regular closure operators
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1994
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 35
IS - 2
SP - 109
EP - 128
LA - eng
KW - closure subset; topological space; lattice of subobjects; closure operator; -category; factorization; global Galois connection; Salbany regular closure
UR - http://eudml.org/doc/91538
ER -

References

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  2. 2 A.V. Arhangelskii AND R. Wiegand, Conectedness and disconnectedness in topology, Topology Appl., 5 (1975), pp. 9-33. MR367920
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  5. 5 G. Castellini AND D. Hajek, Closure operators and connectedness, Topology Appl., (1994). Zbl0791.54001MR1255295
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  11. 11 M. Erné, J. Koslowski, A. Melton, AND G.E. Strecker, A primer on Galois connections, in Proceedings of the 1991 Summer Conference on Topology and Applications in Honor of Mary Ellen Rudin and Her Work, A. R. Todd, ed., Madison, WI, June 1991, New York Academy of Science. To appear 1993. Zbl0809.06006MR1277847
  12. 12 H. Herrlich AND G.E. Strecker, Category Theory, Heldermann Verlag, Berlin, 2nd ed., 1979. Zbl0437.18001MR571016
  13. 13 J.R. Isbell, Epimorphisms and dominions, in Proceedings of the Conference on Categorical Algebra, La Jolla1965, S. Eilenberg, D. Harrison, S. MacLane, and H. Röhrl, eds., La Jolla, 1965, Springer-Verlag, Berlin - New York, 1966, pp. 232-246. Zbl0194.01601MR209202
  14. 14 J. Koslowski, Closure operators with prescribed properties, in Category Theory and its Applications, F. Borceux, ed., no. 1248 in Lecture Notes in Mathematics, Louvain-la-Neuve, 1987, Springer-Verlag, Berlin - New York, 1988, pp. 208-220. Zbl0659.18005MR975971
  15. 15 L.D. Nel AND R.G. Wilson, Epireflections in the category of To spaces, Fund. Math., 75 (1972), pp. 69-74. Zbl0232.54018MR307164
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