Electronic Resource
Springer
Applied categorical structures
3 (1995), S. 1-9
ISSN:
1572-9095
Keywords:
06D20
;
54E55 (54D15
;
54D20
;
54D35)
;
Normal biframe
;
compact regular coreflection
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract Normality is a classical separation axiom in the context of topological spaces and frames (locales). We investigate it in the setting of biframes; the class of normal biframes includes the compact regular ones, the Lindelöf regular ones, the strictly zero-dimensional ones and the Boolean ones. We obtain an explicit description of the compact, regular coreflection of a normal, regular biframe, and conclude by proving a version of Urysohn's Lemma, which characterizes normal biframes in terms of maps from the real line.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00872946
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