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R-isomorphisms of Transformation Groups and Prolongations

Published online by Cambridge University Press:  20 November 2018

Larry King
Larry King*
Affiliation:
University of Massachusetts, Amherst, Massachusetts
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In [8] the notion of a reparameterizing isomorphism of transformation groups, henceforth called an R-isomorphism, is introduced generalizing Ura's type-2 isomorphism (see [13]). We have shown [8] that an R-isomorphism is weaker than a transformation group isomorphism. For example, although R-isomorphisms preserve pointwise almost periodicity and minimality they do not preserve the existence of slices [7] or almost periodicity. This suggests that R-isomorphisms might be a useful classification tool in topological dynamics.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 2 , April 1973 , pp. 338 - 344
Copyright
Copyright © Canadian Mathematical Society 1973

References

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