On some classes of nilpotent Leibniz algebras.
Ayupov, Sh.A., Omirov, B.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Ayupov, Sh.A., Omirov, B.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Uskova, N.B. (2000)
Sibirskij Matematicheskij Zhurnal
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Kudajbergenov, K.Zh. (2000)
Siberian Mathematical Journal
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Takashi Inaba, Paweł Walczak (1996)
Fundamenta Mathematicae
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The Hausdorff dimension of the holonomy pseudogroup of a codimension-one foliation ℱ is shown to coincide with the Hausdorff dimension of the space of compact leaves (traced on a complete transversal) when ℱ is non-minimal, and to be equal to zero when ℱ is minimal with non-trivial leaf holonomy.
Duque, Cosme, Lizana, Marcos, Uzcátegui, Jahnett (2008)
Divulgaciones Matemáticas
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Lyantse, W.E., Kudrik, T.S. (2002)
Sibirskij Matematicheskij Zhurnal
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Arnautov, V.I., Filippov, K.M. (2001)
Sibirskij Matematicheskij Zhurnal
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Emel'yanov, Eh.Yu. (2003)
Sibirskij Matematicheskij Zhurnal
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Greshnov, A.V. (2001)
Sibirskij Matematicheskij Zhurnal
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Yaki Sternfeld (1995)
Fundamenta Mathematicae
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We prove that if f is a k-dimensional map on a compact metrizable space X then there exists a σ-compact (k-1)-dimensional subset A of X such that f|X∖A is 1-dimensional. Equivalently, there exists a map g of X in such that dim(f × g)=1. These are extensions of theorems by Toruńczyk and Pasynkov obtained under the additional assumption that f(X) is finite-dimensional. These results are then extended to maps with fibers restricted to some classes of spaces other than the class of k-dimensional...
Kiguradze, I. (1994)
Georgian Mathematical Journal
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Gubarev, V.Yu. (2009)
Sibirskij Matematicheskij Zhurnal
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