%0 Journal Article
%T Symmetry Conditions on the Coincidence of Some Notions of Quasi-Uniform Completeness
%A Athanasios Andrikopoulos
%J International Journal of Mathematics and Mathematical Sciences
%D 2007
%I Hindawi Publishing Corporation
%R 10.1155/2007/87592
%X We generalize the notions of quietness and semisymmetry defined by Doitchinov (1991) and Deák (1991) and we study the role of these extended notions on the coincidence of some well-known quasi-uniform completeness. In particular, it is shown that the bicompletion coincides (up to quasi-uniformism) with the standard D-completion in quiet ⋆-weakly pair Cauchy bounded quasi-uniform spaces and it coincides with ⋆-half-com- pletion defined by Romaguera and Sánchez-Granero (2002), in T0-weakly quiet quasi-uniform spaces.
%U http://www.hindawi.com/journals/ijmms/2007/087592/abs/