The use of Lyapunov functions in uniqueness and nonuniqueness theorems
Josef Kalas (2000)
Archivum Mathematicum
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Josef Kalas (2000)
Archivum Mathematicum
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Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Bartušek, M., Osička, J. (2001)
Georgian Mathematical Journal
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Bartušek, Miroslav (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Amir Akbary (2000)
Acta Arithmetica
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Marta Santos (1999)
Fundamenta Mathematicae
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DI(4) is the only known example of an exotic 2-compact group, and is conjectured to be the only one. In this work, we study generalized cohomology theories for DI(4) and its classifying space. Specifically, we compute the Morava K-theories, and the P(n)-cohomology of DI(4). We use the non-commutativity of the spectrum P(n) at p=2 to prove the non-homotopy nilpotency of DI(4). Concerning the classifying space, we prove that the BP-cohomology and the Morava K-theories of BDI(4) are all...
Vinaykumar V. Acharya, S. A. Katre (1995)
Acta Arithmetica
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