ON A PROBLEM OF WHITNEY

Citation:

Gan Danyan.ON A PROBLEM OF WHITNEY[J].Chinese Annals of Mathematics B,1991,12(2):230~234
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Authors:

Gan Danyan;

Foundation:

The project supported by National Natural Science Foundation of China.
Abstract: In 1944 H. Whitney raised a problem: Let M be an open smooth m-manifold. Does there exist an imbedding of M into $R^{2n}$ with no limit point set? Introducing a sort of Morse number for open manifolds and using Whitney trick ,the author gives a direct proof of the affirmative answer to it.

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