On the fiber-preserving maps
Jingyal Pak (1978)
Colloquium Mathematicae
Similarity:
Jingyal Pak (1978)
Colloquium Mathematicae
Similarity:
Dongni Tan (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
We prove that every map T between two F*-spaces which preserves equality of distance and satisfies T(0) = 0 is linear.
F. Balibrea, C. La Paz (1997)
Annales Polonici Mathematici
Similarity:
One-dimensional turbulent maps can be characterized via their ω-limit sets [1]. We give a direct proof of this characterization and get stronger results, which allows us to obtain some other results on ω-limit sets, which previously were difficult to prove.
Carlos Biasi, Denise de Mattos (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
E. Pannwitz showed in 1952 that for any n ≥ 2, there exist continuous maps φ:Sⁿ→ Sⁿ and f:Sⁿ→ ℝ² such that f(x) ≠ f(φ(x)) for any x∈ Sⁿ. We prove that, under certain conditions, given continuous maps ψ,φ:X→ X and f:X→ ℝ², although the existence of a point x∈ X such that f(ψ(x)) = f(φ(x)) cannot always be assured, it is possible to establish an interesting relation between the points f(φ ψ(x)), f(φ²(x)) and f(ψ²(x)) when f(φ(x)) ≠ f(ψ(x)) for any x∈ X, and a non-standard version of the...
Moo Ha Woo, Xuezhi Zhao (2011)
Fundamenta Mathematicae
Similarity:
Given a relative map f: (X,A) → (X,A) on a pair (X,A) of compact polyhedra and a closed subset Y of X, we shall give some criteria for Y to be the fixed point set of some map relatively homotopic to f.
Jesús Araujo, Krzysztof Jarosz (2003)
Studia Mathematica
Similarity:
We prove that a biseparating map between spaces of vector-valued continuous functions is usually automatically continuous. However, we also discuss special cases when this is not true.
Andrzej Ehrenfeucht, Edward Grzegorek (1974)
Colloquium Mathematicae
Similarity:
Jerzy Dydak (1974)
Colloquium Mathematicae
Similarity:
Mirosław Ślosarski (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
Similarity:
In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.
J. Bryszewski, Lech Górniewicz (1976)
Fundamenta Mathematicae
Similarity:
O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Similarity:
Jerzy Krzempek (2004)
Fundamenta Mathematicae
Similarity:
It is shown that for every at most k-to-one closed continuous map f from a non-empty n-dimensional metric space X, there exists a closed continuous map g from a zero-dimensional metric space onto X such that the composition f∘g is an at most (n+k)-to-one map. This implies that f is a composition of n+k-1 simple ( = at most two-to-one) closed continuous maps. Stronger conclusions are obtained for maps from Anderson-Choquet spaces and ones that satisfy W. Hurewicz's condition (α). The...
Nguyen Van Khue (1985)
Colloquium Mathematicae
Similarity:
Ernst Dieterich, Lars Lindberg (2003)
Colloquium Mathematicae
Similarity:
Our article contributes to the classification of dissident maps on ℝ ⁷, which in turn contributes to the classification of 8-dimensional real division algebras. We study two large classes of dissident maps on ℝ ⁷. The first class is formed by all composed dissident maps, obtained from a vector product on ℝ ⁷ by composition with a definite endomorphism. The second class is formed by all doubled dissident maps, obtained as the purely imaginary parts of the structures...
Gilles Fournier, Lech Górniewicz (1976)
Fundamenta Mathematicae
Similarity:
Cowen, Robert (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
Similarity:
Władysław A. Majewski, Marcin Marciniak (2007)
Banach Center Publications
Similarity:
The structure of the set of positive unital maps between M₂(ℂ) and Mₙ(ℂ) (n ≥ 3) is investigated. We proceed with the study of the "quantized" Choi matrix thus extending the methods of our previous paper [MM2]. In particular, we examine the quantized version of Størmer's extremality condition. Maps fulfilling this condition are characterized. To illustrate our approach, a careful analysis of Tang's maps is given.
Lluis Alsedà, Jaume Llibre (1989)
Banach Center Publications
Similarity:
Rafał Górak (2011)
Studia Mathematica
Similarity:
We prove a very general theorem concerning the estimation of the expression ||T((a+b)/2) - (Ta+Tb)/2|| for different kinds of maps T satisfying some general perturbed isometry condition. It can be seen as a quantitative generalization of the classical Mazur-Ulam theorem. The estimates improve the existing ones for bi-Lipschitz maps. As a consequence we also obtain a very simple proof of the result of Gevirtz which answers the Hyers-Ulam problem and we prove a non-linear generalization...
Amerik, Ekaterina (1997)
Documenta Mathematica
Similarity: