(t2 - t)-Reciprocities on the Affine Line and Matsumoto's Theorem.
Frans Keune (1975)
Inventiones mathematicae
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Frans Keune (1975)
Inventiones mathematicae
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John Smillie (1981)
Inventiones mathematicae
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Jeffery T. McLean (1975)
Mathematische Zeitschrift
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David A. Foulser (1973)
Mathematische Zeitschrift
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J.A. Thas (1994)
Inventiones mathematicae
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R. HARTSHORNE (1969/70)
Inventiones mathematicae
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Judita Cofman (1967)
Mathematische Zeitschrift
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Józef Joachim Telega (1977)
Annales Polonici Mathematici
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R.V. Gurjahr (1980)
Inventiones mathematicae
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Karáné, G.S. (1994)
Beiträge zur Algebra und Geometrie
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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.
I.G. MacDonald (1971/72)
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.