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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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.
Michel Talagrand (1984)
Mathematica Scandinavica
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Abels, Herbert (1999)
Journal of Lie Theory
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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.
Michał Sadowski (1990)
Colloquium Mathematicae
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Blažev, Sunčica, Cigić, Vlado (2007)
Balkan Journal of Geometry and its Applications (BJGA)
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Cruceanu, Vasile (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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John Smillie (1981)
Inventiones mathematicae
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Tsemo, Aristide (2008)
International Journal of Mathematics and Mathematical Sciences
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Antti Käenmäki (2004)
Acta Universitatis Carolinae. Mathematica et Physica
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Karáné, G.S. (1994)
Beiträge zur Algebra und Geometrie
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