Electronic Resource
Springer
Applied categorical structures
2 (1994), S. 205-218
ISSN:
1572-9095
Keywords:
Primary 54D15
;
Secondary 18C15
;
54D20
;
locale
;
Galois connection
;
Isbell object
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The epi-reflective hull B of an objectB in the category of locales is called anice separation axiom provided it enjoys certain properties which are natural generalizations of properties satisfied by the categories of completely regular locales and zero dimensional locales. Invariably, a family ofStone-like duality theorems ensues, distinguishing (for each large enough regular cardinal κ) the full subcategory of all κ-LindelöfB-objects. Some corollaries for topological spaces arise, as well as some open problems, upon “taking of spatial parts”.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00873300
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