On hyperplanes and free subspaces of affine Klingenberg spaces.
T. Bisztriczky, J.W. Lorimer (1994)
Aequationes mathematicae
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T. Bisztriczky, J.W. Lorimer (1994)
Aequationes mathematicae
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T. Bisztriczky, J.W. Lorimer (1994)
Aequationes mathematicae
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Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Soare, Nicolae (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Soare, Nicolae (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Andrzej Smajdor, Wilhelmina Smajdor (1996)
Aequationes mathematicae
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Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Christoph Bandt, Mathias Mesing (2009)
Banach Center Publications
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In the class of self-affine sets on ℝⁿ we study a subclass for which the geometry is rather tractable. A type is a standardized position of two intersecting pieces. For a self-affine tiling, this can be identified with an edge or vertex type. We assume that the number of types is finite. We study the topology of such fractals and their boundary sets, and we show how new finite type fractals can be constructed. For finite type self-affine tiles in the plane we give an algorithm which...
Paweł Urbański (2003)
Banach Center Publications
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An affine Cartan calculus is developed. The concepts of special affine bundles and special affine duality are introduced. The canonical isomorphisms, fundamental for Lagrangian and Hamiltonian formulations of the dynamics in the affine setting are proved.
Paulette Saab (1980)
Aequationes mathematicae
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Giering, Oswald (1997)
Journal for Geometry and Graphics
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Janko Marovt (2006)
Studia Mathematica
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Let 𝒳 be a compact Hausdorff space which satisfies the first axiom of countability, I = [0,1] and 𝓒(𝒳,I) the set of all continuous functions from 𝒳 to I. If φ: 𝓒(𝒳,I) → 𝓒(𝒳,I) is a bijective affine map then there exists a homeomorphism μ: 𝒳 → 𝒳 such that for every component C in 𝒳 we have either φ(f)(x) = f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C, or φ(f)(x) = 1-f(μ(x)), f ∈ 𝓒(𝒳,I), x ∈ C.
Takashi Kurose (1990)
Mathematische Zeitschrift
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Karáné, G.S. (1994)
Beiträge zur Algebra und Geometrie
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John Smillie (1981)
Inventiones mathematicae
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