Geodesic
Topological Spaces with a Unique Compatible Quasi-Uniformity
Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 369-372

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In [ 2 ] P. Fletcher proved that a finite topological space has a unique compatible quasi-uniformity; C. Barnhill and P. Fletcher showed in [1] that a topological space (X, ), with finite, has a unique compatible quasiuniformity. In this note we give some necessary conditions for unique quasiuniformizability. 
Lindgren, W. F. Topological Spaces with a Unique Compatible Quasi-Uniformity. Canadian mathematical bulletin, Tome 14 (1971) no. 3, pp. 369-372. doi: 10.4153/CMB-1971-066-9
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[1] 1. Barnhill, C. and Fletcher, P., Topological spaces with a unique compatible quasi-uniform structure, Arch. Math. 21 (1970), 206-209. Google Scholar

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