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Alternative Metrization Proofs

Published online by Cambridge University Press:  20 November 2018

Dale Rolfsen
Dale Rolfsen*
Affiliation:
The University of Wisconsin
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 750 - 757
Copyright
Copyright © Canadian Mathematical Society 1966

References

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