Symmetry Conditions on the Coincidence of Some Notions of Quasi-Uniform Completeness | Zendy

Athanasios Andrikopoulos | Zendy

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Symmetry Conditions on the Coincidence of Some Notions of Quasi-Uniform Completeness

Author(s) -

Athanasios Andrikopoulos

Publication year - 2007

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2007/87592

Subject(s) - algorithm , coincidence , completeness (order theory) , mathematics , mathematical analysis , medicine , alternative medicine , pathology

We generalize the notions of quietness and semisymmetry defined byDoitchinov (1991) and DeÃƒÂ¡k (1991) andwe study the role of these extended notions on the coincidence of some well-knownquasi-uniform completeness. In particular, it is shown that the bicompletioncoincides (up to quasi-uniformism) with the standard D-completion in quiet Ã¢Â‹Â†-weakly pair Cauchy bounded quasi-uniform spaces and it coincides with Ã¢Â‹Â†-half-com- pletion defined by Romaguera and SÃƒÂ¡nchez-Granero (2002), in T0-weakly quiet quasi-uniform spaces

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