Fletcher, P.; Lindgren, W. F. Compactifications of totally bounded quasi-uniform spaces. (English) Zbl 0583.54017 Glasg. Math. J. 28, 31-36 (1986). The authors show that a totally bounded \(T_ 1\) quasi-uniform space has a compactification if and only if it is point symmetric. Reviewer: A.A.Ivanov Cited in 8 Documents MSC: 54E15 Uniform structures and generalizations 54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.) Keywords:total boundedness; uniform weight; uniform completion; quasi-uniformly continuous map; continuous extension; Wallman compactification; totally bounded \(T_ 1\) quasi-uniform space PDF BibTeX XML Cite \textit{P. Fletcher} and \textit{W. F. Lindgren}, Glasg. Math. J. 28, 31--36 (1986; Zbl 0583.54017) Full Text: DOI OpenURL References: [1] DOI: 10.1007/BF01111226 · Zbl 0131.20404 [2] Fletcher, Quasi-uniform spaces 77 (1982) · Zbl 0501.54018 [3] Alfsen, Math. Scand. 8 pp 97– (1960) · Zbl 0141.20502 [4] Császár, General topology and its relations to modern analysis and algebra Proc. Sympos., Prague, 1981 pp 104– (1982) [5] DOI: 10.1007/BF01222562 · Zbl 0218.54018 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.