Topological Spaces with a Unique Compatible Quasi-Uniformity
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 40-43

Voir la notice de l'article provenant de la source Cambridge University Press

We show that a topological space X admits a unique quasiuniformityif and only if every interior-preserving open collection of X isfinite.
DOI : 10.4153/CMB-1986-007-3
Mots-clés : Pervin quasi-uniformity, hereditarily compact, unique quasi-uniformity, γ-space, 54 E 15
Künzi, Hans-Peter A. Topological Spaces with a Unique Compatible Quasi-Uniformity. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 40-43. doi: 10.4153/CMB-1986-007-3
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[1] 1. Barnhill, C. and Fletcher, P., Topological spaces with a unique compatible quasi-uniform structure, Arch. Math. 21 (1970), pp. 206–209. Google Scholar

[2] 2. Brown, L. M., On topological spaces with a unique compatible quasi-uniformity, Glasgow Math. J. 18(1977), pp. 11–12. Google Scholar

[3] 3. Kiinzi, H. P. A. and Brummer, G. C. L., Sobrification and bicompletion of totally bounded quasiuniform spaces, Math. Proc. Camb. Phil. Soc. (to appear). Google Scholar

[4] 4. Fletcher, P., Finite topological spaces and quasi-uniform structures, Canad. Math. Bull. 12 (1969), pp. 771–775. Google Scholar

[5] 5. Fletcher, P. and Lindgren, W. F., Quasi-uniform spaces, Lecture notes in pure and applied mathematics 77, Marcel Dekker, New York (1982). Google Scholar

[6] 6. Hicks, T. L. and Huffman, S. M., A note on locally quasi-uniform spaces, Canad. Math. Bull. 19 (1976), pp. 501–504. Google Scholar

[7] 7. Kiinzi, H. P. A., Topological spaces with a unique compatible quasi-proximity, Arch. Math. 43, (1984), pp. 559–561. Google Scholar

[8] 8. Lindgren, W. F., Topological spaces with unique quasi-uniform structure, Arch. Math. 22 (1971), pp. 417–419. Google Scholar

[9] 9. Lindgren, W. F., Topological spaces with a unique compatible quasi-uniformity, Canad. Math. Bull. 14 (1971), pp. 369–372. Google Scholar

[10] 10. Votaw, C. I., Uniqueness of compatible quasi-uniformities, Canad. Math. Bull. 15 (1972), pp. 575–583. Google Scholar

[11] 11. Worrell, J. M. Jr., Locally separable Moore spaces, Set-theoretic topology, Academic Press, New York (1977), pp. 413–436. Google Scholar

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