| Title:
|
A constructive proof of the Tychonoff's theorem for locales (English) |
| Author:
|
Kříž, Igor |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
3 |
| Year:
|
1985 |
| Pages:
|
619-630 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03E25 |
| MSC:
|
03G30 |
| MSC:
|
54B10 |
| MSC:
|
54D30 |
| MSC:
|
54F05 |
| MSC:
|
54H99 |
| idZBL:
|
Zbl 0661.54027 |
| idMR:
|
MR817832 |
| . |
| Date available:
|
2008-06-05T21:22:35Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106398 |
| . |
| Reference:
|
[1] J. BÉNABOU: Treillis locaux et paratopologies.Séminaire Ehresmann 1 (1957-58), exposé 2. MR 0121774 |
| Reference:
|
[2] B. BANASCHEWSKI C. J. MULVEY: Stone-Čech compactification of locales, I.Houston J. Math. 6 (1980), 301-312. MR 0597771 |
| Reference:
|
[3] C. H. DOWKER D. PAPERT: Quotient frames and subspaces.Proc. Lond. Math. Soc. 16 (1966), 275-296. MR 0202648 |
| Reference:
|
[4] C. H. DOWKER D. PAPERT: On Urysohn's lemma.General Topology and its relations to Modern Analysis and Algebra II, Prague 1966, 111-114. MR 0238744 |
| Reference:
|
[5] C. H. DOWKER D. STRAUSS: Sums in the category of frames.Houston J. Math. 3 (1976), 17-32. MR 0442900 |
| Reference:
|
[6] J. R. ISBELL: Atomless parts of spaces.Math. Scand. 31 (1972), 5-32. Zbl 0246.54028, MR 0358725 |
| Reference:
|
[7] P. T. JOHNSTONE: The point of pointless topology.Bull. Am. Math. Soc. 8 (1983), 41-43. Zbl 0499.54002, MR 0682820 |
| Reference:
|
[8] P. T. JOHNSTONE: Tychonoff's theorem without the axiom of ohoice.Fund. Math. 113 (1981), 21-35. MR 0641111 |
| Reference:
|
[9] A. JOYAL M. TIERNEY: An extension of the Galois Theory of Grothendieck.preprint. MR 0756176 |
| Reference:
|
[10] J. L. KELLEY: The Tychonoff product theorem implies the axiom of ohoice.Fund. Math. 37 (1950), 75-76. MR 0039982 |
| Reference:
|
[11] H. SIMMONS: A framework for topology.Proc. Wroclaw Logic Conference 1977, North-Holland, 1978, 239-251. MR 0519819 |
| Reference:
|
[12] A. N. TYCHONOFF: Über die topologische Erweiterung von Räumen.Math. Ann. 102 (1930), 544-561. MR 1512595 |
| . |
