Extending certain transformation group actions in separable, infinite-dimensional Frechet spaces and the Hilbert cube

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Extending Certain Transformation Group Actions in Separable, Infinite-dimensional Frechet Spaces and the Hilbert Cube

A theorem of V. L. Klee, Jr. [9] asserts that any homeomorphism between two compact sets in a separable, infinite-dimensional Hilbert space can be extended to a homeomorphism of the entire space onto itself. Since it has recently been shown ( [ l ] , [5] and [6]) that all separable, infinite-dimensional Frechet spaces are homeomorphic (a Frechet space being a metrizable, complete, locally conve...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1968

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1968-12119-6