On the epireflective hull of Top in Near

The problem, to give an internal description of those nearness spaces that are the objects of the epireflective hull of the topological spaces, in the category of nearness spaces, has been open for 30 years. We describe the closest known approximation to a solution from below. We also present here f...

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Bibliographic Details
Published in:Topology and its applications 2006-10, Vol.153 (16), p.3071-3084
Main Authors: Bentley, H.L., Carlson, John W., Herrlich, H.
Format: Article
Language:English
Subjects:
Adjacent sequences
Attached sequences
Cauchy sequence
Concentrated space
Epireflective hull
Glutinous space
Nearness space
Subtopological space
Topological space
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Summary:The problem, to give an internal description of those nearness spaces that are the objects of the epireflective hull of the topological spaces, in the category of nearness spaces, has been open for 30 years. We describe the closest known approximation to a solution from below. We also present here for the first time an approximation from above.
ISSN:0166-8641
1879-3207
DOI:10.1016/j.topol.2005.04.013