On affine geometric product objects
Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Józef Joachim Telega (1977)
Annales Polonici Mathematici
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Frans Keune (1975)
Inventiones mathematicae
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Al Vitter (1972)
Inventiones mathematicae
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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.
R.V. Gurjahr (1980)
Inventiones mathematicae
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R. HARTSHORNE (1969/70)
Inventiones mathematicae
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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.
Takashi Kurose (1990)
Mathematische Zeitschrift
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Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Udo Simon, An-Mi Li, Luc Vrancken (1991)
Mathematische Zeitschrift
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T. Kambayashi (1979)
Inventiones mathematicae
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R. Krasnodębski (1964)
Annales Polonici Mathematici
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Varga, Adrienn (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Joachim Schmid (1995)
Manuscripta mathematica
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