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- W157353801 abstract "We show that the two-sided quasi-uniformity UB of a regular paratopological group (G, � ) is quiet. The Doitchinov completion ( b G, c UB) of (G, UB) can be considered a paratopological group containing G as a doubly dense subgroup whenever G is Abelian. Furthermore c UB is the two- sided quasi-uniformity of ( b G, � ). These results generalize in an appropriate way important results about topological groups to regular paratopological groups. A counterexample dealing with the non-Abelian case is presented. Furthermore we give conditions, depending on quasi-uniform complete- ness properties, under which a paratopological group is a topological group." @default.
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- W157353801 date "1998-01-01" @default.
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- W157353801 title "The Doitchinov Completion of a Regular Paratopological Group" @default.
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