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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Completely metrizable spaces of embeddings


Author: R. A. McCoy
Journal: Proc. Amer. Math. Soc. 84 (1982), 437-442
MSC: Primary 54C35; Secondary 54E35
MathSciNet review: 640249
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Abstract: A study is made of the complete metrizability of spaces of embeddings and spaces of homeomorphisms under the compact-open topology. It is shown that the space of continuous injections from a hemicompact metric space into a complete metric space is completely metrizable.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0640249-5
PII: S 0002-9939(1982)0640249-5
Keywords: Spaces of embeddings, spaces of homeomorphisms, complete metrizability, first category
Article copyright: © Copyright 1982 American Mathematical Society