On Hyperspace Topologies of Some Quasiuniform Spaces
Received:March 19, 1990  
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Cao Jiling Dept. Math.Tianjin University
Tianjin 
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Abstract:
      In this paper, it is shown that the locally finite topology eτ on the hypers-pace 2x coincides with the topology transmitted by the locally finite covering quasiuniformity on X. We also prove that the following conditions are equiva-lent . (l)(X,τ) is paracompact , (2) (X,τ) is orthcompact ,and eτ=|2uFT|, ( 3 ) eτ=|2uL| for some Lebesgue quasiuniformity uL·A characterization of feebly compact topological spaces is given.
Citation:
DOI:10.3770/j.issn:1000-341X.1991.04.010
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