The Urysohn Metrization Theorem

This page contains my lectures on the Urysohn Metrization Theorem from early November. Please click on the page number in the list on the left, and it will appear in this frame.

In case you are interested in the mathematicians mentioned in these lectures, here are links to their biographies in the MacTutor archives:

You can also find photographs of Urysohn, Tychonoff, Nagata, Smirnov, and Bing at the following site at the University of Akron:

Pictures from the History of Mathematics

Here are references to the original papers:

P. Urysohn, "Über the Mächtigkeit der zusammenhägenden Mengen", Math. Ann.94 (1925), 262-295.
P. Urysohn, "Zum Metrisationsproblem", Math. Ann.94 (1925), 309-315.
J. Nagata, "On a necessary and sufficient condition of metrizability", J. Inst. Poly. Osaka City Univ. 1 (1950), 93-100.
Y. Smirnov, "On metrization of topological spaces", Uspekhi. Matem. Nauk 6 (1951), 100-111.
Y. Smirnov, "A necessary and sufficient condition for metrizability of a topological space", Doklady Akad. Nauk. SSSR. 77 (1951), 197-200.
R. H. Bing, "Metrization of topological spaces", Can. J. Math. 3 (1951), 175-186.