Results 51 to 60 of about 122,847 (179)
Intrinsic Approximation on Cantor-like Sets, a Problem of Mahler [PDF]
, 2011 In 1984, Kurt Mahler posed the following fundamental question: How well can irrationals in the Cantor set be approximated by rationals in the Cantor set?
Broderick, Ryan +2 more
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ON SUMS OF SEMIBOUNDED CANTOR SETS
Rocky Mountain Journal of Mathematics, 2023 18 ...
Fillman, Jake, Tidwell, Sara H.
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On Some Philosophical Aspects of the Background to Georg Cantor’s theory of sets
Philosophia Scientiæ, 2005 Georg Cantor sought secure foundations for his set theory. This article presents an account of Cantor’s differentiations concerning the notion of infinity and a tentative historical parsepctive on his notion of set.
Christian Tapp
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A Cantor set with hyperbolic complement [PDF]
, 2012 We construct a Cantor set in S^3 whose complement admits a complete hyperbolic ...
Souto, Juan, Stover, Matthew
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, 2014 Following K. Mahler's suggestion for further research on intrinsic approximation on the Cantor ternary set, we obtain a Dirichlet type theorem for the limit sets of rational iterated function systems.
Broderick +14 more
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Cascades in the dynamics of affine interval exchange transformations
, 2019 We describe in this article the dynamics of a $1$-parameter family of affine interval exchange transformations. It amounts to studying the directional foliations of a particular affine surface, the Disco surface. We show that this family displays various
Boulanger, Adrien +2 more
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Genericity of chaos for colored graphs
Topological Algebra and its Applications, 2021 To each colored graph one can associate its closure in the universal space of isomorphism classes of pointed colored graphs, and this subspace can be regarded as a generalized subshift.
Lijó Ramón Barral, Nozawa Hiraku
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Quasisymmetric geometry of the Cantor circles as the Julia sets of rational maps [PDF]
, 2015 We give three families of parabolic rational maps and show that every Cantor set of circles as the Julia set of a non-hyperbolic rational map must be quasisymmetrically equivalent to the Julia set of one map in these families for suitable parameters ...
Qiu, Weiyuan, Yang, Fei, Yin, Yongcheng
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Axioms, 2021 We prove some results in set theory as applied to general topology and model theory. In particular, we study ℵ1-collectionwise Hausdorff, Chang Conjecture for logics with Malitz-Magidor quantifiers and monadic logic of the real line by odd/even Cantor ...
Saharon Shelah
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Georg Cantor i idea jedności nauki
Zagadnienia Filozoficzne w Nauce, 2009 G. Cantor presented - in an unpublished paper (1884) - a vision of the unity of science. He argued all sciences can be reduced directly to the set theory. A source of this idea was for Cantor the unity of mathematics (on the basis of set theory).
Jerzy Dadaczyński
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