منابع مشابه
Covering dimension and finite-to-one maps
To Ken Kunen on the occasion of his retirement from teaching MSC: primary 54F45 secondary 54C10, 54G05
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 کاملFinite-to-one fuzzy maps and fuzzy perfect maps
Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This paper has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library In this paper we def...
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 کاملSuperrigidity in infinite dimension and finite rank via harmonic maps
We prove geometric superrigidity for actions of cocompact lattices in semisimple Lie groups of higher rank on infinite dimensional Riemannian manifolds of nonpositive curvature and finite telescopic dimension.
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2004
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm182-2-1