Relatively minimal extensions of topological flows
Mentzen, Mieczysław
Colloquium Mathematicae, Tome 84/85 (2000), p. 51-65 / Harvested from The Polish Digital Mathematics Library
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The concept of relatively minimal (rel. min.) extensions of topological flows is introduced. Several generalizations of properties of minimal extensions are shown. In particular the following extensions are rel. min.: distal point transitive, inverse limits of rel. min., superpositions of rel. min. Any proximal extension of a flow Y with a dense set of almost periodic (a.p.) points contains a unique subflow which is a relatively minimal extension of Y. All proximal and distal factors of a point transitive flow with a dense set of a.p. points are rel. min. In the class of point transitive flows with a dense set of a.p. points, distal open extensions are disjoint from all proximal extensions. An example of a relatively minimal point transitive extension determined by a cocycle which is a coboundary in the measure-theoretic sense is given.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:210808 
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     title = {Relatively minimal extensions of topological flows},
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     volume = {84/85},
     year = {2000},
     pages = {51-65},
     zbl = {0984.54044},
     language = {en},
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Mentzen, Mieczysław. Relatively minimal extensions of topological flows. Colloquium Mathematicae, Tome 84/85 (2000) pp. 51-65. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p51bwm/

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