| Title:
|
A sufficient condition of full normality (English) |
| Author:
|
Kaiser, Tomáš |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
381-389 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones. (English) |
| Keyword:
|
paracompactness (full normality) |
| Keyword:
|
uniform locales |
| Keyword:
|
metrizability |
| MSC:
|
06D10 |
| MSC:
|
54D20 |
| MSC:
|
54E15 |
| idZBL:
|
Zbl 0847.54025 |
| idMR:
|
MR1399010 |
| . |
| Date available:
|
2009-01-08T18:24:16Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118840 |
| . |
| Reference:
|
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| Reference:
|
[2] Johnstone P.T.: Stone Spaces.Cambridge University Press, Cambridge, 1982. Zbl 0586.54001, MR 0698074 |
| Reference:
|
[3] Kelley J.L.: General Topology.Van Nostrand, Princeton, 1955. Zbl 0518.54001, MR 0070144 |
| Reference:
|
[4] Pultr A.: Notes on an extension of the structure of frame.Discrete Mathematics 108 (1992), 107-114. Zbl 0759.06011, MR 1189833 |
| Reference:
|
[5] Pultr A.: Pointless uniformities I. Complete regularity.Comment. Math. Univ. Carolinae 25 (1984), 91-104. Zbl 0543.54023, MR 0749118 |
| Reference:
|
[6] Pultr A.: Pointless uniformities II. (Dia)metrization.Comment. Math. Univ. Carolinae 25 (1984), 105-120. MR 0749119 |
| Reference:
|
[7] Pultr A.: Remarks on metrizable locales.Proc. 12th Winter School, Suppl. ai Rend. Circ. Mat. Palermo (2) 6 (1984), 247-258. Zbl 0565.54001, MR 0782722 |
| Reference:
|
[8] Pultr A., Úlehla J.: Notes on characterization of paracompact frames.Comment. Math. Univ. Carolinae 30.2 (1989), 377-384. MR 1014137 |
| Reference:
|
[9] Stone A.H.: Paracompactness and product spaces.Bull. Amer. Math. Soc. 54 (1948), 977-982. Zbl 0032.31403, MR 0026802 |
| Reference:
|
[10] Sun Shu-Hao: On paracompact locales and metric locales.Comment. Math. Univ. Carolinae 30 (1989), 101-107. MR 0995708 |
| Reference:
|
[11] Tukey J.W.: Convergence and uniformity in topology.Ann. of Math. Studies 2 (1940). Zbl 0025.09102, MR 0002515 |
| . |
