Results 11 to 20 of about 20 (20)
Bend sets, N‐sequences, and mappings
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2927-2936, 2004., 2004 The existence of an N‐sequence in a continuum is a common obstruction that implies nonsmoothness, noncontractibility, nonselectibility, and nonexistence of any mean. The aim of the present paper is to investigate if some variants of the concept of an N‐sequence also keep these properties. In particular, mapping properties of bend sets are studied.
Janusz J. Charatonik, Alejandro Illanes
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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 613-620, 2002., 2002 The concept of a terminal continuum introduced in 1973 by G. R. Gordh Jr., for hereditarily unicoherent continua is extended to arbitrary continua. Mapping properties of these two concepts are investigated. Especially the invariance of terminality under mappings satisfying some special conditions is studied.
Janusz J. Charatonik
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 11, Page 681-688, 2001., 2001 We study the open images of members of a countable family ℱ of dendrites. We show that only two members of ℱ are minimal and only one of them is unique minimal with respect to open mappings.
Janusz J. Charatonik
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The lifting property for classes of mappings
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 10, Page 717-722, 2000., 2000 The lifting property of continua for classes of mappings is defined. It is shown that the property is preserved under the inverse limit operation. The results, when applied to the class of confluent mappings, exhibit conditions under which the induced mapping between hyperspaces is confluent. This generalizes previous results in this topic.
Janusz J. Charatonik
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International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 4, Page 729-734, 1998., 1997 A mapping f : X → Y between continua X and Y is said to be atomic at a subcontinuumK of the domain X provided that f(K) is nondegenerate and K = f−1(f(K)). The set of subcontinua at which a given mapping is atomic, considered as a subspace of the hyperspace of all subcontinua of X, is studied.
Janusz J. Charatonik +1 more
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The dimension of the boundary of the Lévy Dragon
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 627-632, 1997., 1997 In this paper we describe the computations done by the authors in determining the dimension of the boundary of the Lévy Dragon. A general theory was developed for calculating the dimension of a self‐similar tile and the theory was applied to this particular set. The computations were challenging.
P. Duvall, J. Keesling
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Lattictic non-archimedean random stability of ACQ functional equation
Advances in Difference Equations, 2011 In this paper, we prove the generalized Hyers-Ulam stability of the following additive-cubic-quartic functional equation 1 1 f ( x + 2 y ) + 1 1 f ( x - 2 y ) = 4 4 f ( x + y ) + 4 4 f ( x - y ) + 1 2 f ( 3 y ) - 4 8 f ( 2 ...
Saadati Reza, Cho Yeol
doaj
Exception Sets of Intrinsic and Piecewise Lipschitz Functions. [PDF]
J Geom Anal, 2022 Leobacher G, Steinicke A.
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Approximation of the multiplicatives on random multi-normed space. [PDF]
J Inequal Appl, 2017 Agarwal RP, Saadati R, Salamati A.
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Isometry groups of non standard metric products
Open Mathematics, 2013 Oliynyk Bogdana
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