Subjective polynomial maps, and a remark on the jacobian problem.
Ken McKenna, Lou Van den Dries (1990)
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Displaying similar documents to “Connectedness Properties of Polynomial Maps Between Affine Spaces.”
Subjective polynomial maps, and a remark on the jacobian problem.
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We present some estimates on the geometry of the exceptional value sets of non-zero constant Jacobian polynomial maps of ℂ² and their components.
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Affine bijections of C(X,I)
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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.
On a Theorem of Chern and Terng on Affine Surfaces.
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Affine umbilical surfaces in R4.
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Reconstructing birational maps from their face functions.
Wie Li, Jie-Tai Yu (1992)
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