Another note on precompact uniform frames

2020 ◽  
Vol 275 ◽  
pp. 107023
Author(s):  
P. Bhattacharjee ◽  
I. Naidoo
Keyword(s):  
2003 ◽  
Vol 49 (4) ◽  
pp. 993-1006 ◽  
Author(s):  
Y.C. Eldar ◽  
H. Bolcskei
Keyword(s):  

2000 ◽  
Vol 145 (2) ◽  
pp. 199-213 ◽  
Author(s):  
J.L. Walters-Wayland
Keyword(s):  

2007 ◽  
Vol 116 (3) ◽  
pp. 273-284 ◽  
Author(s):  
I. Naidoo
Keyword(s):  

2004 ◽  
Vol 27 (1) ◽  
pp. 9-20 ◽  
Author(s):  
Themba Dube
Keyword(s):  

Author(s):  
B. Banaschewski ◽  
A. Pultr

The aim of this paper is twofold: first, to construct the compact regular coreflection of uniform frames, that is, the frame counterpart of the Samuel compactification of uniform spaces (Samuel [10]), and then to use this for a new description of the completion of a uniform frame, as an alternative to those previously given by Isbell [6] on the one hand and Kříž [8] on the other. In addition, we present a few further results, as well as new proofs of known ones, that are naturally connected with completions and arise particularly easily from our approach to them. Most prominently among these, we identify the uniform space of minimal Cauchy filters of a uniform frame as the spectrum of its completion.


2005 ◽  
Vol 153 (5-6) ◽  
pp. 941-947 ◽  
Author(s):  
Inderasan Naidoo
Keyword(s):  

2015 ◽  
pp. 383-399 ◽  
Author(s):  
Saliha Pehlivan ◽  
Degu ng Han ◽  
Ram N. Mohapatra
Keyword(s):  

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