Results 41 to 50 of about 12,741 (164)
Persistence landscapes of affine fractals
Demonstratio Mathematica, 2022 We develop a method for calculating the persistence landscapes of affine fractals using the parameters of the corresponding transformations. Given an iterated function system of affine transformations that satisfies a certain compatibility condition, we ...
Catanzaro Michael J. +2 more
doaj +1 more source
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
doaj +1 more source
Homeomorphisms of R and the Davey Space
Applied General Topology, 2004 Up to homeomorphism, there are 9 topologies on a three point set {a, b, c}. Among the resulting topological spaces we have the so called Davey space, where the only non-trivial open set is, let us say, {a}. This is an interesting topological space to the
Sheila Carter, F.J. Craveiro de Carvalho
doaj +1 more source
Kakeya sets in Cantor directions [PDF]
Mathematical Research Letters, 2008 10 pages; Preliminary ...
Bateman, Michael D., Katz, Nets Hawk
openaire +2 more sources
Descriptions of Cantor Sets: A Set‑Theoretic Survey and Open Problems
Chaos and FractalsThis paper synthesizes the principal descriptive set-theoretic perspectives on deterministic Cantor sets on the real line and charts directions for future study.
Mohsen Soltanifar
doaj +1 more source
Cantor-winning sets and their applications
Advances in Mathematics, 2017 40 pages; 08/05/15 improvements to introduction and various typos corrected. 10/09/15 conversion of notation in Theorems 11 & 12 to match Schmidt's original. Various typos and readability improvements elsewhere.
Dzmitry Badziahin, Stephen Harrap
openaire +3 more sources
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
doaj +1 more source
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Zagadnienia Filozoficzne w Nauce, 2009 G. Cantor presented - in an unpublished paper (1884) - a vision of the unity of science.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
doaj
CANTOR SETS AND FIELDS OF REALS
Matematički Vesnik, 2022 Our main result is a construction of four families C_1,C_2,B_1,B_2 which are equipollent with the power set of the real line R and satisfy the following properties. (i) The members of the families are proper subfields of R whose algebraic closures equal the field C. (ii) Each field in C_1vC_2 contains a Cantor set.
openaire +2 more sources
Complex Manifolds, 2019 In this paper, for a non-compact Riemman surface S homeomorphic to either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we give a precise description of an infinite set of generators of a Fuchsian group Γ < PSL(2, ℝ ...
Arredondo John A. +1 more
doaj +1 more source