Title
Regular Monomorphisms of Hausdorff Frames
Abstract
Regular monomorphisms in the category of Hausdorff frames are characterized by means of a naturally defined closure operator; this is used also to characterize the epimorphisms. Further it is shown that for spatial (strongly) Hausdorff frames the regular monomorphisms do not generally coincide with the quotients, and do not generally compose. Also, an additional property (under which regular monomorphisms do compose) is briefly studied.
Year
DOI
Venue
2001
10.1023/A:1008600626778
Applied Categorical Structures
Keywords
Field
DocType
frames,locales,Hausdorff property,regular monomorphisms resp. epimorphisms,quotient mappings
Topology,Discrete mathematics,Closure operator,Quotient,Hausdorff space,Mathematics
Journal
Volume
Issue
ISSN
9
1
1572-9095
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Till Plewe141.19
Ales Pultr27224.12
Anna Tozzi342.96