Title:
|
On extended frames (English) |
Author:
|
Picado, Jorge |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
36 |
Issue:
|
3 |
Year:
|
1995 |
Pages:
|
537-549 |
. |
Category:
|
math |
. |
Summary:
|
Some aspects of extended frames are studied, namely, the behaviour of ideals, covers, admissible systems of covers and uniformities. (English) |
Keyword:
|
extended frame |
Keyword:
|
ideal |
Keyword:
|
cover |
Keyword:
|
admissible system of covers |
Keyword:
|
uniformity |
MSC:
|
06D20 |
MSC:
|
18A40 |
MSC:
|
54A05 |
MSC:
|
54E15 |
idZBL:
|
Zbl 0831.06004 |
idMR:
|
MR1364495 |
. |
Date available:
|
2009-01-08T18:20:02Z |
Last updated:
|
2012-04-30 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118783 |
. |
Reference:
|
[1] Johnstone P.T.: Stone spaces.Cambridge Studies in Advanced Mathematics 3, Cambridge University Press, 1982. Zbl 0586.54001, MR 0698074 |
Reference:
|
[2] Kříž I., Pultr A.: Systems of covers of frames and resulting subframes.in: Proc. 14th Winter School Suppl. Rend. Circ. Mat. Palermo, Ser. II 14 (1987), 353-364. MR 0920868 |
Reference:
|
[3] MacLane S.: Categories for the working mathematician.Graduate Texts in Math. vol. 5, Springer-Verlag, New York, 1971. Zbl 0705.18001, MR 0354798 |
Reference:
|
[4] Pultr A.: Pointless uniformities I. Complete regularity.Comment. Math. Univ. Carolinae 25 (1984), 91-104. Zbl 0543.54023, MR 0749118 |
Reference:
|
[5] Pultr A.: Pointless uniformities II. (Dia)metrization.Comment. Math. Univ. Carolinae 25 (1984), 105-120. MR 0749119 |
Reference:
|
[6] Pultr A.: Categories of diametric frames.Math. Proc. Camb. Phil. Soc. 105 (1989), 285-297. Zbl 0683.54008, MR 0974984 |
Reference:
|
[7] Pultr A.: Notes on an extension of the structure of frame.Discrete Mathematics 108 (1992), 107-114. Zbl 0759.06011, MR 1189833 |
Reference:
|
[8] Vickers S.: Topology via Logic.Cambridge Tracts in Theoretical Computer Science 5, Cambridge University Press, 1989. Zbl 0922.54002, MR 1002193 |
. |