The Cantor construction
نویسندگان
چکیده
منابع مشابه
The Cantor Set
Analysis is the science of measure and optimization. As a collection of mathematical fields, it contains real and complex analysis, functional analysis, harmonic analysis and calculus of variations. Analysis has relations to calculus, geometry, topology, probability theory and dynamics. We will focus mostly on ”the geometry of fractals” today. Examples are Julia sets which belong to the subfiel...
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In [1] and [2] we have discussed the problem of existence of an independent set of generators for a countably generated filter in an atomless Boolean algebra and for any filter in a free Boolean algebra. In particular, we have proved that if F is a filter in a free Boolean algebra then F is freely generated provided the minimal cardinality of the set of generators of F is not a singular cardina...
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The articles [10], [4], [12], [11], [7], [13], [2], [3], [6], [8], [5], [1], and [9] provide the notation and terminology for this paper. Let Y be a set and let x be a non empty set. Note that Y 7−→ x is non-empty. Let X be a set and let A be a family of subsets of X . The functor UniCl(A) yields a family of subsets of X and is defined as follows: (Def. 1) For every subset x of X holds x ∈ UniC...
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A technique based on Cantor division is used to embellish artistic knotwork designs. Weaving rules are relaxed to allow a mostly alternating weave to be applied to the resulting patterns. The new method is compared to traditional knotwork, and the generation of examples is discussed. r 2005 Elsevier Ltd. All rights reserved.
متن کاملCantor sets
This paper deals with questions of how many compact subsets of certain kinds it takes to cover the space ω of irrationals, or certain of its subspaces. In particular, given f ∈ (ω\{0}), we consider compact sets of the form Q i∈ω Bi, where |Bi| = f(i) for all, or for infinitely many, i. We also consider “n-splitting” compact sets, i.e., compact sets K such that for any f ∈ K and i ∈ ω, |{g(i) : ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1980
ISSN: 0022-247X
DOI: 10.1016/0022-247x(80)90050-5