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On Extending Homeomorphisms to Fréchet Manifolds

R. D. Anderson and John D. McCharen
Proceedings of the American Mathematical Society
Vol. 25, No. 2 (Jun., 1970), pp. 283-289
DOI: 10.2307/2037206
Stable URL: http://www.jstor.org/stable/2037206
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On Extending Homeomorphisms to Fréchet Manifolds
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Abstract

Let M be a Fréchet manifold and K be a Z-set in M. It is shown that a homeomorphism h of K into M can be isotopically extended to a homeomorphism of M onto M if and only if h(K) is a Z-set and h is homotopic to the identity in M. Conditions under which the isotopic extension can be required to be "close to" the homotopy are also given.

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