Set mappings on generalized linear continua
Péter Komjáth (1995)
Colloquium Mathematicae
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Péter Komjáth (1995)
Colloquium Mathematicae
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Dirk Jens F. Nonnenmacher (1994)
Annales Polonici Mathematici
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Modifying Mawhin's definition of the GP-integral we define a well-behaved integral over n-dimensional compact intervals. While its starting definition is of Riemann type, we also establish an equivalent descriptive definition involving characteristic null conditions. This characterization is then used to obtain a quite general form of the divergence theorem.
W. Jarczyk, K. Łoskot, M. C. Zdun (1994)
Annales Polonici Mathematici
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The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.
Karol Pąk (2014)
Formalized Mathematics
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In this article we prove the Tietze extension theorem for an arbitrary convex compact subset of εn with a non-empty interior. This theorem states that, if T is a normal topological space, X is a closed subset of T, and A is a convex compact subset of εn with a non-empty interior, then a continuous function f : X → A can be extended to a continuous function g : T → εn. Additionally we show that a subset A is replaceable by an arbitrary subset of a topological space that is homeomorphic...
Artur Barkhudaryan (1999)
Commentationes Mathematicae Universitatis Carolinae
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This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.
Yeom, Seung Wha, Min, Kyung Jin, Cho, Seong Hoon (1999)
International Journal of Mathematics and Mathematical Sciences
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Rostás, K. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Szalay, I. (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Ramishvili, I., Tadumadze, T. (2004)
Georgian Mathematical Journal
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Bartušek, Miroslav (1995)
Georgian Mathematical Journal
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Michał Morayne (1992)
Fundamenta Mathematicae
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We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.