Compactifications of totally bounded quasi-uniform spaces. (English) Zbl 0583.54017

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


54E15 Uniform structures and generalizations
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
Full Text: DOI


[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
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