On metabelian groups with derived quotient an elementary Abelian 2-group of rank 3.
Bludov, V.V., Dolbak, L.V. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Bludov, V.V., Dolbak, L.V. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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Turmanov, M.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Saharon Shelah (2000)
Fundamenta Mathematicae
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The Kalikow problem for a pair (λ,κ) of cardinal numbers,λ > κ (in particular κ = 2) is whether we can map the family of ω-sequences from λ to the family of ω-sequences from κ in a very continuous manner. Namely, we demand that for η,ν ∈ ω we have: η, ν are almost equal if and only if their images are. We show consistency of the negative answer, e.g., for but we prove it for smaller cardinals. We indicate a close connection with the free subset property and its variants. ...
Witold Seredyński, Jacek Świątkowski (1993)
Colloquium Mathematicae
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Chekhlov, A.R. (2001)
Sibirskij Matematicheskij Zhurnal
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L. Ramsey (1996)
Colloquium Mathematicae
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Timmesfeld, Franz Georg (2003)
Beiträge zur Algebra und Geometrie
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Gutman, A.E., Kutateladze, S.S. (2008)
Sibirskij Matematicheskij Zhurnal
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Sławomir Solecki (1996)
Fundamenta Mathematicae
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We prove that in Polish, abelian, non-locally-compact groups the family of Haar null sets of Christensen does not fulfil the countable chain condition, that is, there exists an uncountable family of pairwise disjoint universally measurable sets which are not Haar null. (Dougherty, answering an old question of Christensen, showed earlier that this was the case for some Polish, abelian, non-locally-compact groups.) Thus we obtain the following characterization of locally compact, abelian...
Khisamiev, N.G. (2009)
Sibirskij Matematicheskij Zhurnal
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M. S. Audu, A. Afolabi, E. Apine (2006)
Kragujevac Journal of Mathematics
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Grigorenko, O.V., Roman'kov, V.A. (2007)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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J. Barnett (1992)
Fundamenta Mathematicae
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Examples exist of smooth maps on the boundary of a smooth manifold M which allow continuous extensions over M without fixed points but no such smooth extensions. Such maps are studied here in more detail. They have a minimal fixed point set when all transversally fixed maps in their homotopy class are considered. Therefore we introduce a Nielsen fixed point theory for transversally fixed maps on smooth manifolds without or with boundary, and use it to calculate the minimum number of...