Existence of generalized affine symmetric spaces of arbitrary order
Miloš Božek (1982)
Colloquium Mathematicae
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Miloš Božek (1982)
Colloquium Mathematicae
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S. M. Minčić (1973)
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Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Janko Marovt (2006)
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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.
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.
Toshio Oshima, Jiro Sekiguchi (1980)
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Christoph Bandt, Mathias Mesing (2009)
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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...
Varga, Adrienn (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Takashi Kurose (1990)
Mathematische Zeitschrift
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Papi, Paolo (1997)
The Electronic Journal of Combinatorics [electronic only]
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Bach, Andrea K. (1997)
Beiträge zur Algebra und Geometrie
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Takashi Sano (1999)
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We study affine invariants of plane curves from the view point of the singularity theory of smooth functions. We describe how affine vertices and affine inflexions are created and destroyed.
Michel Talagrand (1984)
Mathematica Scandinavica
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Joachim Schmid (1995)
Manuscripta mathematica
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Udo Simon, An-Mi Li, Luc Vrancken (1991)
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