A Priestley view of spatialization of frames
Pultr, A. ; Sichler, J.
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 41 (2000), p. 225-238 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 2000-01-01
@article{CTGDC_2000__41_3_225_0,
     author = {Pultr, Ale\v s and Sichler, J.},
     title = {A Priestley view of spatialization of frames},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     volume = {41},
     year = {2000},
     pages = {225-238},
     mrnumber = {1784219},
     zbl = {0970.06006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CTGDC_2000__41_3_225_0}
}

Pultr, A.; Sichler, J. A Priestley view of spatialization of frames. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 41 (2000) pp. 225-238. http://gdmltest.u-ga.fr/item/CTGDC_2000__41_3_225_0/

1 B. Banaschewski, The duality of distributive continuous lattices, Canadian J. of Math. XXXII (1980), 385-394. | MR 571932 | Zbl 0434.06011

2 B. Banaschewski and A. Pultr, Samuel compactification and completion of uniform frames, Math. Proc. Camb. Phil. Soc. 108 (1990), 63-78. | MR 1049760 | Zbl 0733.54020

3 K.H. Hofmann and J.D. Lawson, The spectral theory of distributive continuous lattices, Trans. Amer. Math. Soc. 246 (1978), 285-310. | MR 515540 | Zbl 0402.54043

4 J.R. Isbell, Function spaces and adjoints, Math. Scand. 36 (1975), 317-339. | MR 405340 | Zbl 0309.54016

5 P.T. Johnstone, "Stone Spaces", Cambridge University Press, Cambridge, 1982. | MR 698074 | Zbl 0499.54001

6 P.T. Johnstone, Tychonoff's theorem without the axiom of choice, Fund. Math. 113 (1981), 31-35. | MR 641111 | Zbl 0503.54006

7 J.L. Kelley, The Tychonoff Product Theorem implies the Axiom of Choice, Fund. Math. 37 (1950), 75-76. | MR 39982 | Zbl 0039.28202

8 H.A. Priestley, Representation of distributive lattices by means of ordered Stone spaces, Bull. London Math. Soc. 2 (1970), 186-190. | MR 265242 | Zbl 0201.01802

9 H.A. Priestley, Ordered topological spaces and the representation of distributive lattices, Proc. London Math. Soc. 24 (1972), 507-530. | MR 300949 | Zbl 0323.06011

10 A. Pultr and J. Sichler, Frames in Priestley's duality, Cahiers de Top. et Géom. Diff. Cat. XXIX-3 (1988), 193-202. | Numdam | MR 975372 | Zbl 0666.54018

11 S. Vickers, "Topology via Logic", Cambrige Tracts in Theor. Comp. Sci., Number 5, Cambridge University Press, Cambridge, 1985. | MR 1002193 | Zbl 0668.54001