### On the Affine Bezout Inequaltiy.

Joachim Schmid (1995)

Manuscripta mathematica

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Joachim Schmid (1995)

Manuscripta mathematica

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Daniel Hug (1996)

Manuscripta mathematica

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F. Milán, A. Martínez (1992)

Manuscripta mathematica

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Takashi Sano (1999)

Banach Center Publications

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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.

Tatsuya Kawabe (1998)

Manuscripta mathematica

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M. Magid, C. Scharlach, L. Vrancken (1995)

Manuscripta mathematica

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Józef Joachim Telega (1977)

Annales Polonici Mathematici

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Katsumi Nomizu, Takeshi Sasaki (1990)

Manuscripta mathematica

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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.

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.

Peter Hauber (1994)

Manuscripta mathematica

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Udo Simon, An-Mi Li, Luc Vrancken (1991)

Mathematische Zeitschrift

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Cruceanu, Vasile (2005)

Balkan Journal of Geometry and its Applications (BJGA)

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Michel Talagrand (1984)

Mathematica Scandinavica

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Leichtweiss, Kurt (1999)

Beiträge zur Algebra und Geometrie

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