A Priestley view of spatialization of frames

A. Pultr; J. Sichler

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2000)

  • Volume: 41, Issue: 3, page 225-238
  • ISSN: 1245-530X

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Pultr, A., and Sichler, J.. "A Priestley view of spatialization of frames." Cahiers de Topologie et Géométrie Différentielle Catégoriques 41.3 (2000): 225-238. <http://eudml.org/doc/91635>.

@article{Pultr2000,
author = {Pultr, A., Sichler, J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {locally compact space; Priestley duality; spatial frames},
language = {eng},
number = {3},
pages = {225-238},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {A Priestley view of spatialization of frames},
url = {http://eudml.org/doc/91635},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Pultr, A.
AU - Sichler, J.
TI - A Priestley view of spatialization of frames
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2000
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 41
IS - 3
SP - 225
EP - 238
LA - eng
KW - locally compact space; Priestley duality; spatial frames
UR - http://eudml.org/doc/91635
ER -

References

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  1. 1 B. Banaschewski, The duality of distributive continuous lattices, Canadian J. of Math.XXXII (1980), 385-394. Zbl0434.06011MR571932
  2. 2 B. Banaschewski and A. Pultr, Samuel compactification and completion of uniform frames, Math. Proc. Camb. Phil. Soc.108 (1990), 63-78. Zbl0733.54020MR1049760
  3. 3 K.H. Hofmann and J.D. Lawson, The spectral theory of distributive continuous lattices, Trans. Amer. Math. Soc.246 (1978), 285-310. Zbl0402.54043MR515540
  4. 4 J.R. Isbell, Function spaces and adjoints, Math. Scand.36 (1975), 317-339. Zbl0309.54016MR405340
  5. 5 P.T. Johnstone, "Stone Spaces", Cambridge University Press, Cambridge, 1982. Zbl0499.54001MR698074
  6. 6 P.T. Johnstone, Tychonoff's theorem without the axiom of choice, Fund. Math.113 (1981), 31-35. Zbl0503.54006MR641111
  7. 7 J.L. Kelley, The Tychonoff Product Theorem implies the Axiom of Choice, Fund. Math.37 (1950), 75-76. Zbl0039.28202MR39982
  8. 8 H.A. Priestley, Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc.2 (1970), 186-190. Zbl0201.01802MR265242
  9. 9 H.A. Priestley, Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc.24 (1972), 507-530. Zbl0323.06011MR300949
  10. 10 A. Pultr and J. Sichler, Frames in Priestley's duality, Cahiers de Top. et Géom. Diff. Cat.XXIX-3 (1988), 193-202. Zbl0666.54018MR975372
  11. 11 S. Vickers, "Topology via Logic", Cambrige Tracts in Theor. Comp. Sci., Number 5, Cambridge University Press, Cambridge, 1985. Zbl0668.54001MR1002193

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