Peculiar behavior of connected locales

Igor Kříž; Aleš Pultr

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1989)

  • Volume: 30, Issue: 1, page 25-43
  • ISSN: 1245-530X

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Kříž, Igor, and Pultr, Aleš. "Peculiar behavior of connected locales." Cahiers de Topologie et Géométrie Différentielle Catégoriques 30.1 (1989): 25-43. <http://eudml.org/doc/91429>.

@article{Kříž1989,
author = {Kříž, Igor, Pultr, Aleš},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {connected locale; locally compact locale; hereditarily Lindelöf},
language = {eng},
number = {1},
pages = {25-43},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Peculiar behavior of connected locales},
url = {http://eudml.org/doc/91429},
volume = {30},
year = {1989},
}

TY - JOUR
AU - Kříž, Igor
AU - Pultr, Aleš
TI - Peculiar behavior of connected locales
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1989
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 30
IS - 1
SP - 25
EP - 43
LA - eng
KW - connected locale; locally compact locale; hereditarily Lindelöf
UR - http://eudml.org/doc/91429
ER -

References

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  1. 1 B. Banaschewski, The dua lity of distributive continuous lattices, Canad. J. Math.32 (1980), 385-394. Zbl0434.06011MR571932
  2. 2 J. Benabou, Treillis locaux et paratopologies, Cahiers Top. et Géom. Diff.I (1957), Exp.2. Zbl0134.40704MR121774
  3. 3 C.H. Dowker& D. Papert, Sums in the category of frames, Houston J. Math.3 (1977), 7-15. Zbl0341.54001MR442900
  4. 4 C. Ehresmann, Gattungen von lokalen Strukturen, Uber. Deutsch. Math.-Verein.60 (1957). Reprinted in " Charles Ehresmann; Œuvres complètes et commentées, Part II-1", Amiens1983. Zbl0097.37803
  5. 5 J.R. Isbell, Atomless parts of spaces, Math. Scand.31 (1972), 5-32. Zbl0246.54028MR358725
  6. 6 J.R. Isbell, Product spaces in locales, Proc. A.M.S.81 (1981), 116-118. Zbl0473.54027MR589150
  7. 7 P.T. Johnstone, Stone spaces, Cambridge Univ. Press, 1982. Zbl0499.54001MR698074
  8. 8 P.T. Johnstone, The point of pointless topology, Bull. A. M.S. (New Series), 8-1 (1983), 41-53. Zbl0499.54002MR682820
  9. 9 P.T. Johnstone, Tychonoff's Theorem without the axiom of choice, Fund. Math.CXIII (1981), 21-35. Zbl0503.54006MR641111
  10. 10 I. KřÍž, A direct description of uniform completion in locales and a characterization of LT-groups, Cahiers Top. et Géom. Dif.XXVII-1 (1986), 19-34. Zbl0601.18004MR845407
  11. 11 I. KřÍž & A. Pultr, Products of locally connected locales, Proc. XIIIth Winter School, Suppl. to Rend. del Circ. Math. Palermo Ser. II, n° 11 (1985), 61-70. Zbl0638.54001MR897971
  12. 12 H. Simmons, A framework for topology, Proc. Wroclaw. Logic Conf. 1977, North-Holland (1978), 239-251. Zbl0493.06005MR519819

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