A conjecture of Ulam on the invariance of measures in Gilbert's cube
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Jan Mycielski (1977)
Studia Mathematica
Michel Talagrand, David H. Fremlin (1979)
Mathematische Zeitschrift
A. Janssen (1980)
Semigroup forum
Joseph Max Rosenblatt (1973)
Mathematica Scandinavica
Dence, Thomas P. (1980)
International Journal of Mathematics and Mathematical Sciences
Antoni Leon Dawidowicz (1992)
Annales Polonici Mathematici
A method of construction of an invariant measure on a function space is presented.
Eva Matoušková, Miroslav Zelený (2003)
Colloquium Mathematicae
We show that in every Polish, abelian, non-locally compact group G there exist non-Haar null sets A and B such that the set {g ∈ G; (g+A) ∩ B is non-Haar null} is empty. This answers a question posed by Christensen.
Tserpes, N.A. (1990)
International Journal of Mathematics and Mathematical Sciences
Tserpes, N.A. (1992)
International Journal of Mathematics and Mathematical Sciences
Vadim A. Kaimanovich, Albert Fisher (1998)
Annales de l'I.H.P. Probabilités et statistiques
James Fickett, Jan Mycielski (1979)
Colloquium Mathematicae
Paweł Głowacki, Andrzej Hulanicki (1987)
Colloquium Mathematicae
E.M. Alfsen (1963)
Mathematica Scandinavica
J.J. Duistermaat, G.J. Heckman (1983)
Inventiones mathematicae
P. L. Brockett (1976)
Semigroup forum
Roman Ger (1988)
Mathematica Slovaca
Karim Khanaki (2016)
Fundamenta Mathematicae
This paper has three parts. First, we study and characterize amenable and extremely amenable topological semigroups in terms of invariant measures using integral logic. We prove definability of some properties of a topological semigroup such as amenability and the fixed point on compacta property. Second, we define types and develop local stability in the framework of integral logic. For a stable formula ϕ, we prove definability of all complete ϕ-types over models and deduce from this the fundamental...
Karl-Goswin Grosse-Erdmann (1989)
Colloquium Mathematicae
S. Koshi (1988)
Matematički Vesnik
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