JP Journal of Geometry and Topology
Volume 1, Issue 2, Pages 211 - 226
(July 2001)
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A SIMPLE EXTENSION ON CONVERGENCE SPACES
Shing S. So (USA)
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Abstract: In this paper, a simple extension on
convergence spaces is defined and properties such as
boundedness, local boundedness, compactness, and local
compactness are studied. Furthermore, the properties
of being T1,
T2,
T3, pseudotopological, pretopological, and topological on
the simple extension are investigated. Finally,
relationship between maps of convergence spaces and
maps of their simple extensions are discussed. |
Keywords and phrases: convergence spaces, extensions, bounded, locally bounded, compact, locally compact, pseudotopological, pretopological, topological, proper maps, convergence quotient maps, perfect maps, open maps, closure-preserving maps, neighborhood-preserving maps. |
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