Article
Keywords:
extended frame; ideal; cover; admissible system of covers; uniformity
Summary:
Some aspects of extended frames are studied, namely, the behaviour of ideals, covers, admissible systems of covers and uniformities.
References:
                        
[1] Johnstone P.T.: 
Stone spaces. Cambridge Studies in Advanced Mathematics 3, Cambridge University Press, 1982. 
MR 0698074 | 
Zbl 0586.54001[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[3] MacLane S.: 
Categories for the working mathematician. Graduate Texts in Math. vol. 5, Springer-Verlag, New York, 1971. 
MR 0354798 | 
Zbl 0705.18001[4] Pultr A.: 
Pointless uniformities I. Complete regularity. Comment. Math. Univ. Carolinae 25 (1984), 91-104. 
MR 0749118 | 
Zbl 0543.54023[5] Pultr A.: 
Pointless uniformities II. (Dia)metrization. Comment. Math. Univ. Carolinae 25 (1984), 105-120. 
MR 0749119[6] Pultr A.: 
Categories of diametric frames. Math. Proc. Camb. Phil. Soc. 105 (1989), 285-297. 
MR 0974984 | 
Zbl 0683.54008[7] Pultr A.: 
Notes on an extension of the structure of frame. Discrete Mathematics 108 (1992), 107-114. 
MR 1189833 | 
Zbl 0759.06011[8] Vickers S.: 
Topology via Logic. Cambridge Tracts in Theoretical Computer Science 5, Cambridge University Press, 1989. 
MR 1002193 | 
Zbl 0922.54002