A direct description of uniform completion in locales and a characterization of $LT$-groups

Igor Kříž

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1986)

• Volume: 27, Issue: 1, page 19-34
• ISSN: 1245-530X

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Kříž, Igor. "A direct description of uniform completion in locales and a characterization of $LT$-groups." Cahiers de Topologie et Géométrie Différentielle Catégoriques 27.1 (1986): 19-34. <http://eudml.org/doc/91372>.

@article{Kříž1986,
author = {Kříž, Igor},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {topological group; localic group; locale; hypercompletion},
language = {eng},
number = {1},
pages = {19-34},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A direct description of uniform completion in locales and a characterization of $LT$-groups},
url = {http://eudml.org/doc/91372},
volume = {27},
year = {1986},
}

TY - JOUR
AU - Kříž, Igor
TI - A direct description of uniform completion in locales and a characterization of $LT$-groups
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1986
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 27
IS - 1
SP - 19
EP - 34
LA - eng
KW - topological group; localic group; locale; hypercompletion
UR - http://eudml.org/doc/91372
ER -

References

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1. 1 J. Benabou, Treillis locaux et paratopologies, Cahiers Top. et Géom Diff.1 (1957/58). Zbl0134.40704
2. 2 C.H. Dowker & D. Strauss, Sums in the category of frames, Houston J. Math.3 (1976), 17-32. Zbl0341.54001MR442900
3. 3 J.R. Isbell, Atomless parts of spaces, Math. Scand.31 (1972), 5-32. Zbl0246.54028MR358725
4. 4 J.R. Isbell, I. KřÍž, A. Pultr & J. Rosický, Regular locales and localic groups (to appear). Zbl0661.22003
5. 5 P.T. Johnstone, The point of pointless topology, Bull. AMS8 (1983), 41-43. Zbl0499.54002MR682820
6. 6 P.T. Johnstone, Tychonoff's Theorem without the axiom of choice, Fund. Math.CXIII (1981), 21-35. Zbl0503.54006MR641111
7. 7 F.C. Kirwan, Uniform locales, Dissertation, Univ. Cambridge, 1981; 
8. 8 A. Pultr, Pointless uniformities I. Complete regularity, Comm. Math. Univ. Carolinae25,1 (1984), 91-104. Zbl0543.54023MR749118
9. 9 A. Pultr, Pointless uniformities II. (Dia)metrisation, Id., 105-120. Zbl0543.54023MR749119
10. 10 A. Pultr, Remarks on metrizable locales, Proc. 12th winter school of abst. analysis, Palermo II,6 (1984), 247-258. Zbl0565.54001MR782722
11. 11 H. Simmons, A framework for topology, Proc. Wroclaw Logic Conf. 1977; North-Holland (1978), 239-251. Zbl0493.06005MR519819

Citations in EuDML Documents

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1. Bernhard Banaschewski, Jacob J. C Vermeulen, On the completeness of localic groups
2. Bernhard Banaschewski, Aleš Pultr, Booleanization of uniform frames
3. Jan Paseka, Conjunctivity in quantales
4. Igor Kříž, Aleš Pultr, Peculiar behavior of connected locales
5. Joanne L. Walters-Wayland, Metric-fine uniform frames

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