| Relativized problems with abelian phase group in topological dynamics. | |
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MedLine Citation:
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PMID: 16592304 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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Let (X, T) be the equicontinuous minimal transformation group with X = pi(infinity)Z(2), the Cantor group, and S = [unk](infinity)Z(2) endowed with the discrete topology acting on X by right multiplication. For any countable group T we construct a function F:X x S --> T such that if (Y, T) is a minimal transformation group, then (X x Y, S) is a minimal transformation group with the action defined by (x, y)s = [xs, yF(x, s)]. If (W, T) is a minimal transformation group and varphi:(Y, T) --> (W, T) is a homomorphism, then identity x varphi:(X x Y, S) --> (X x W, S) is a homomorphism and has many of the same properties that varphi has. For this reason, one may assume that the phase group is abelian (or S) without loss of generality for many relativized problems in topological dynamics. |
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Authors:
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D McMahon |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: Proceedings of the National Academy of Sciences of the United States of America Volume: 73 ISSN: 0027-8424 ISO Abbreviation: Proc. Natl. Acad. Sci. U.S.A. Publication Date: 1976 Apr |
Date Detail:
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Created Date: 2010-06-29 Completed Date: 2010-06-29 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 7505876 Medline TA: Proc Natl Acad Sci U S A Country: United States |
Other Details:
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Languages: eng Pagination: 1007 Citation Subset: - |
Affiliation:
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Department of Mathematical Sciences, New Mexico State University, Las Cruces, N.M. 88003. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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