On axial maps of direct product,s I
Andrzej Ehrenfeucht, Edward Grzegorek (1974)
Colloquium Mathematicae
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Andrzej Ehrenfeucht, Edward Grzegorek (1974)
Colloquium Mathematicae
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Jerzy Dydak (1974)
Colloquium Mathematicae
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F. Balibrea, C. La Paz (1997)
Annales Polonici Mathematici
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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.
Cowen, Robert (2001)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Lluis Alsedà, Jaume Llibre (1989)
Banach Center Publications
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Paulette Libermann (2003)
Banach Center Publications
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Jingyal Pak (1978)
Colloquium Mathematicae
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Ivar Massabò, Alfonso Vignoli (1989)
Colloquium Mathematicae
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Mirosław Ślosarski (2019)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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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.
Jerzy Krzempek (2004)
Fundamenta Mathematicae
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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...
El Marraki, Mohamed, Zvonkin, Alexander (1995)
Séminaire Lotharingien de Combinatoire [electronic only]
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Jesús Araujo, Krzysztof Jarosz (2003)
Studia Mathematica
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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.
Władysław A. Majewski, Marcin Marciniak (2007)
Banach Center Publications
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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.
Ernst Dieterich, Lars Lindberg (2003)
Colloquium Mathematicae
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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...
O'Regan, D. (1999)
Zeitschrift für Analysis und ihre Anwendungen
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Liskovets, Valery A. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Xavier Buff, Thomas Gauthier (2013)
Bulletin de la Société Mathématique de France
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We prove that any Lattès map can be approximated by strictly postcritically finite rational maps which are not Lattès maps.
Lê Minh Hà, Jeffrey Strom (2001)
Fundamenta Mathematicae
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This paper is a study of the Gray index of phantom maps. We give a new, tower theoretic, definition of the Gray index, which allows us to study the naturality properties of the Gray index in some detail. McGibbon and Roitberg have shown that if f* is surjective on rational cohomology, then the induced map on phantom sets is also surjective. We show that if f* is surjective just in dimension k, then f induces a surjection on a certain subquotient of the phantom set....
Lluis Alsedà, Antonio Falcó (2003)
Annales de l’institut Fourier
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The aim of this paper is twofold. First we give a characterization of the set of kneading invariants for the class of Lorenz–like maps considered as a map of the circle of degree one with one discontinuity. In a second step we will consider the subclass of the Lorenz– like maps generated by the class of Lorenz maps in the interval. For this class of maps we give a characterization of the set of renormalizable maps with rotation interval degenerate to a rational number, that is, of phase–locking...