A sufficient condition that the limit of a sequence of continuous functions be an embedding
Author:
J. R. Edwards
Journal:
Proc. Amer. Math. Soc. 26 (1970), 224-225
MSC:
Primary 54.60
DOI:
https://doi.org/10.1090/S0002-9939-1970-0259869-7
MathSciNet review:
0259869
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Suppose $X$ is a metric space, and $Y$ is a complete metric space. In this paper a sufficient condition is given to insure that a sequence of continuous functions from $X$ into $Y$ converge to an embedding from $X$ into $Y$.
- R. H. Bing, Each disk in $E^{3}$ contains a tame arc, Amer. J. Math. 84 (1962), 583–590. MR 146811, DOI https://doi.org/10.2307/2372864
Retrieve articles in Proceedings of the American Mathematical Society with MSC: 54.60
Retrieve articles in all journals with MSC: 54.60
Additional Information
Keywords:
Convergence of continuous functions
Article copyright:
© Copyright 1970
American Mathematical Society