Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/549

 Title: A Note on Totally Bounded Quasi-Uniformities Authors: Fletcher, P.Hunsaker, W. Keywords: D-CompleteQuite Issue Date: 1998 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 24, No 1, (1998), 95p-98p Abstract: We present the original proof, based on the Doitchinov completion, that a totally bounded quiet quasi-uniformity is a uniformity. The proof was obtained about ten years ago, but never published. In the mean-time several stronger results have been obtained by more direct arguments [8, 9, 10]. In particular it follows from Künzi’s [8] proofs that each totally bounded locally quiet quasi-uniform space is uniform, and recently Déak [10] observed that even each totally bounded Cauchy quasi-uniformity is a uniformity. URI: http://hdl.handle.net/10525/549 ISSN: 1310-6600 Appears in Collections: Volume 24 Number 1

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