منابع مشابه
One-one Polynomial Maps
It is a fundamental fact about simultaneous linear equations that uniqueness implies existence in the sense that if the »X» system MX= Y has, for each Y, at most one solution X, then, for each Y, the equation actually has a solution. Our purpose is to show that this situation persists for certain "nonlinear equations" as well, namely that, restricting everything to the reals, if Pi, P2 are poly...
متن کاملOn Finite-to-one Maps
Let f : X → Y be a σ-perfect k-dimensional surjective map of metrizable spaces such that dimY ≤ m. It is shown that, for every integer p ≥ 1 there exists a dense Gδ-subset H(k,m, p) of C(X, I k+p ) with the source limitation topology such that each fiber of f△g, g ∈ H(k,m, p), contains at most max{k+m−p+2, 1} points. This result provides a proof of Hypothesis 1 and Hypothesis 2 from [1].
متن کاملCovering dimension and finite-to-one maps
To Ken Kunen on the occasion of his retirement from teaching MSC: primary 54F45 secondary 54C10, 54G05
متن کاملSkinning Maps Are Finite-to-one
Skinning maps were introduced by William Thurston in the proof of the Geometrization Theorem for Haken 3-manifolds (see [Ota]). At a key step in the proof one has a compact 3-manifold M with nonempty boundary whose interior admits a hyperbolic structure. The interplay between deformations of the hyperbolic structure and the topology of M and ∂M determines a holomorphic map of Teichmüller spaces...
متن کاملSemiconjugates of One-dimensional Maps
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2006
ISSN: 0166-8641
DOI: 10.1016/j.topol.2004.03.009