| Title:
|
On the paracompactness of frames (English) |
| Author:
|
Chen, Xiangdong |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
485-491 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained. (English) |
| Keyword:
|
paracompact |
| Keyword:
|
cover |
| Keyword:
|
envelope |
| Keyword:
|
congruence |
| MSC:
|
06B10 |
| MSC:
|
06D99 |
| MSC:
|
54D20 |
| MSC:
|
54J05 |
| idZBL:
|
Zbl 0795.54033 |
| idMR:
|
MR1209290 |
| . |
| Date available:
|
2009-01-08T17:57:30Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118516 |
| . |
| Reference:
|
[1] Banaschewski B.: Lectures on Frames.University of Cape Town, 1988 (unpublished manuscript). |
| Reference:
|
[2] Chen X.: On the local connectedness of frames.J. Pure Appl. Algebra 79 (1992), 35-43. Zbl 0753.54008, MR 1164120 |
| Reference:
|
[3] Dowker C.H., Papert D.: Paracompact frames and closed maps.Symp. Math. 16 (1975), 93-116. Zbl 0324.54015, MR 0410663 |
| Reference:
|
[4] Johnstone P.T.: Stone Space.Cambridge University Press, 1982. MR 0698074 |
| Reference:
|
[5] Nagata J.: Modern General Topology.N.Y., Wiley, 1968. Zbl 0598.54001 |
| Reference:
|
[6] Pultr A., Úlehla J.: Notes on characterization of paracompact frames.Commentationes Math. Univ. Carolinae 30 (1989), 377-384. MR 1014137 |
| Reference:
|
[7] Sun Shu-Hao: On paracompact locales and metric locales.Commentationes Math. Univ. Carolinae 30 (1989), 101-107. MR 0995708 |
| . |
