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David Extension of Circle Homeomorphisms, Welding, Mating, and Removability
Memoirs of the American Mathematical Society, 2020We provide a David extension result for circle homeomorphisms conjugating two dynamical systems such that parabolic periodic points go to parabolic periodic points, but hyperbolic points can go to parabolics as well. We use this result, in particular, to
Mikhail Lyubich +3 more
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Canadian Journal of Mathematics, 1970
In recent years there has been some interest in trying to improve the behaviour of maps by extending their domains. For example, in 1953 Whyburn showed that every map is the restriction of a compact map [17]. Similarly, Krolevec proved in 1967 that each locally perfect map can be extended to a perfect map [12] and in an as yet unpublished paper ...
Franklin, S. P., Kohli, J. K.
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In recent years there has been some interest in trying to improve the behaviour of maps by extending their domains. For example, in 1953 Whyburn showed that every map is the restriction of a compact map [17]. Similarly, Krolevec proved in 1967 that each locally perfect map can be extended to a perfect map [12] and in an as yet unpublished paper ...
Franklin, S. P., Kohli, J. K.
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Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision
Journal of Fixed Point Theory and Applications, 2019An extension of the Banach fixed-point theorem for a sequence of maps on a complete metric space (X, d) has been presented in a previous paper. It has been shown that backward trajectories of maps X→X\documentclass[12pt]{minimal} \usepackage{amsmath ...
N. Dyn, D. Levin, P. Massopust
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Mapping Extension of an Algebra
Algebra Colloquium, 2009A new construction of algebras called a mapping extension of an algebra is here introduced. The construction yields a generalization of some classical constructions such as the nilpotent extension of an algebra, inflation of a semigroup but also the square extension construction introduced recently for idempotent groupoids.
Marczak, Adam W., Płonka, Jerzy
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Extension of fundamental mappings
Siberian Mathematical Journal, 1984Translation from Sib. Mat. Zh. 24, No.3(139), 92-101 (Russian) (1983; Zbl 0524.55008).
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GRAPHIC EXTENSIONS OF MAPPINGS
Quaestiones Mathematicae, 1977ABSTRACT Given a mapping f: X → Y and an extension e: X → [Xtilde] of X, the restriction of the projection Π: [Xtilde] X Y → Y to the closure of the graph of f in [Xtilde] X Y is called the graphic extension of f with respect to e. It is shown that this approach is widely applicable to various types of topological extensions of mappings found in the ...
F. A. Delahan, G. E. Strecker
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Fibrewise extensions, shanin compactification and extensions of fibrewise maps
Acta Mathematica Hungarica, 2009In a previous paper, the authors studied fibrewise covering uniformities and completions (corresponding to fibrewise uniform structures defined by James). In this paper, in order to extend the theory of generalized uniformities (g-uniformities) to fibrewise g-uniformities, the authors introduce an alternative definition of fibrewise uniformity which is
Konami, Y., Miwa, T.
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Proc. ACM Hum. Comput. Interact., 2020
Visual exploration of maps often requires a contextual understanding at multiple scales and locations. Multiview map layouts, which present a hierarchy of multiple views to reveal detail at various scales and locations, have been shown to support better ...
K. Satriadi +4 more
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Visual exploration of maps often requires a contextual understanding at multiple scales and locations. Multiview map layouts, which present a hierarchy of multiple views to reveal detail at various scales and locations, have been shown to support better ...
K. Satriadi +4 more
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Memoirs of the European Mathematical Society, 2020
We introduce a variant of stable logarithmic maps, which we call punctured logarithmic maps. They allow an extension of logarithmic Gromov-Witten theory in which marked points have a negative order of tangency with boundary divisors.
D. Abramovich +3 more
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We introduce a variant of stable logarithmic maps, which we call punctured logarithmic maps. They allow an extension of logarithmic Gromov-Witten theory in which marked points have a negative order of tangency with boundary divisors.
D. Abramovich +3 more
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1977
In this chapter we wish to study various extension theorems. An example of an extension theorem has already been met with, viz., Tietze’s extension theorem (Theorem 8, §19). We wish here to extend this theorem to a general situation and also to consider the extension of some particular maps, for instance, linear ones on linear topological spaces.
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In this chapter we wish to study various extension theorems. An example of an extension theorem has already been met with, viz., Tietze’s extension theorem (Theorem 8, §19). We wish here to extend this theorem to a general situation and also to consider the extension of some particular maps, for instance, linear ones on linear topological spaces.
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