Title

A NEW PROOF OF
THE NAGATA-SMIRNOV METRIZATION THEOREM

Authors

Athanasios Andrikopoulos
Department of Computer Engineering
and Informatics
University of Patras
Panepistimioupoli Patron 265 04, GREECE

Abstract

In this note, I present a new, elementary proof of the Nagata-Smirnov metrization theorem.

History

Received: September 11, 2015
Revised: February 17, 2017
Published: February 28, 2017

AMS Classification, Key Words

AMS Subject Classification: 54E35
Key Words and Phrases: metric, uniformity, -locally finite base, metrizability

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Bibliography

1

J. Kelley, General Topology, D. Van Nostrand Company Inc., Toronto-New York-London, 1955.

2

J. Munkres, Topology: A First Course, Prentice-Hall Inc., Englewood Cliffs, N.J., 1975.

3

J. Nagata, On a necessary and sufficient condition for metrizability, J. Inst., Polytech. Osaka City Univ., Ser. A Math. 1 (1950), 93-100.

4

M.E. Rudin, A new proof that metric spaces are paracompact, Proc. Amer. Math. Soc., 20 (1969), 603.

5

J.M. Smirnov, A necessary and sufficient condition for metrizability of a topological space, Doklary Akad. Nauk SSSR (N.S), 77 (1951), 197-200.

6

J. Williams, Locally uniform spaces, Trans. Amer. Math. Soc., 168 (1972), 435-469.

How to Cite?

DOI: 10.12732/ijpam.v113i1.1 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 113
Issue: 1
Pages: 1 -

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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