Area preserving homeomorphisms of open surfaces of genus zero.
Franks, John (1996)
The New York Journal of Mathematics [electronic only]
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Franks, John (1996)
The New York Journal of Mathematics [electronic only]
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Monika Remy (1988)
Manuscripta mathematica
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Christian Rosendal (2009)
Fundamenta Mathematicae
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It is known that there is a comeagre set of mutually conjugate measure preserving homeomorphisms of Cantor space equipped with the coinflipping probability measure, i.e., Haar measure. We show that the generic measure preserving homeomorphism is moreover conjugate to all of its powers. It follows that the generic measure preserving homeomorphism extends to an action of (ℚ, +) by measure preserving homeomorphisms, and, in fact, to an action of the locally compact ring 𝔄 of finite...
John Franks (1990)
Publications Mathématiques de l'IHÉS
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Stone, A. H.
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Niewiarowski, Jerzy (2015-11-28T13:28:29Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Robert Morris Pierce
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Niewiarowski, Jerzy (2015-11-10T12:14:07Z)
Acta Universitatis Lodziensis. Folia Mathematica
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A. K. Mookhopadhyaya (1964)
Matematički Vesnik
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D. Bourgin (1968)
Studia Mathematica
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Robert E. Zink (1966)
Colloquium Mathematicae
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Eigen, S.J., Prasad, V.S. (1997)
The New York Journal of Mathematics [electronic only]
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Noboru Endou (2017)
Formalized Mathematics
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The purpose of this article is to show Fubini’s theorem on measure [16], [4], [7], [15], [18]. Some theorems have the possibility of slight generalization, but we have priority to avoid the complexity of the description. First of all, for the product measure constructed in [14], we show some theorems. Then we introduce the section which plays an important role in Fubini’s theorem, and prove the relevant proposition. Finally we show Fubini’s theorem on measure.
Paola Bandieri, Francesca Predieri (1995)
Manuscripta mathematica
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Noboru Endou (2016)
Formalized Mathematics
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In this article we formalize in Mizar [5] product pre-measure on product sets of measurable sets. Although there are some approaches to construct product measure [22], [6], [9], [21], [25], we start it from σ-measure because existence of σ-measure on any semialgebras has been proved in [15]. In this approach, we use some theorems for integrals.