Geodesic
Alternative Metrization Proofs
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 750-757

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

Alternative methods of proving several classical metrization theorems are offered in this paper, showing that they follow by elementary methods from an early theorem of Alexandroff and Urysohn. A simplified proof of the latter theorem is also given. Theorem 5 and a corollary to Theorem 3 state the main results. 
Rolfsen, Dale. Alternative Metrization Proofs. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 750-757. doi: 10.4153/CJM-1966-075-9
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[1] 1. Alexandroff, P. and Urysohn, P., Une condition nécessaire et sufficiante pour qu'une classe (L) soit une classe (B), Compt. Rend. Acad. Sri., 177 (1923), 1274–1276. Google Scholar

[2] 2. Bing, R. H., Metrization of topological spaces, Can. J. Math., 3 (1951), 175–186. Google Scholar

[3] 3. Chittenden, E. W., On the equivalence of écart and voisinage, Trans. Amer. Math. Soc, 18 (1917), 161–166. Google Scholar

[4] 4. Chittenden, E. W., On the metrization problem and related problems in the theory of sets, Bull. Amer. Math. Soc., 33 (1927), 13–34. Google Scholar

[5] 5. Frink, A. H., Distance functions and the metrization problem, Bull. Amer. Math. Soc., 43 (1937), 133–142. Google Scholar

[6] 6. Kelley, J. L., General topology (Princeton, 1955). Google Scholar

[7] 7. Nagata, J., On a necessary and sufficient condition of metrizability, J. Inst. Polytech. Osaka City Univ., Sen A, 1 (1950), 93–100. Google Scholar

[8] 8. Smirnov, Yu., A necessary and sufficient condition for metrizability of a topological space., Dokl. Akad. Nauk SSSR, NS, 77 (1951), 197–200. Google Scholar

[9] 9. Smith, M. B. Jr., A new proof of certain metrization theorems, Can. J. Math., 15 (1963), 25–33. Google Scholar

[10] 10. Tychonoff, A., über einen Metrizationssatz von P. Urysohn, Math. Ann., 95 (1926), 139–142. Google Scholar

[11] 11. Urysohn, P., Zum Metrizationsproblem, Math. Ann., 94 (1925), 309–315. Google Scholar

[12] 12. Vickery, C. W., Axioms for Moore space and metric spaces, Bull. Amer. Math. Soc, 46 (1940), 560–564. Google Scholar

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