ISSN:
0219-175X
Keywords:
θ-extension
;
θ-equivalence
;
θ-trace system
;
θ-principal extension
;
H-closed space
;
grill
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A type of extensions called the θ-extention of topological spaces and their θ-equivalence and θ-trace systems are introduced, which ultimately characterize H-closed θ-extensions of a Hausdorff topological space. Also, the notion of θ-principal extensions is defined. A typical θ-principal extension consisting of certain grills on a Hausdorff space is constructed, and finally, some characterizations of H-closedness of a Hausdorff space are obtained.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s10012-000-0395-9
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