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A Gδ IDEAL OF COMPACT SETS STRICTLY ABOVE THE NOWHERE DENSE IDEAL IN THE TUKEY ORDER
Gδ IDEAL COMPACT SETS STRICTLY NOWHERE DENSE IDEAL TUKEY ORDER
2015/8/17
We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tukey order. Here NWD is the collection of all compact nowhere dense subsets of the Cantor set. This answers a qu...
Determination of the Integrated Sidelobe Level of Sets of Rotated Legendre Sequences
Determination of the Integrated Sidelobe Level Sets of Rotated Legendre Sequences
2011/2/21
Sequences sets with low aperiodic auto- and crosscorrelations play an important role in many applications like communications, radar and other active sensing applications.
Ordering subsets of (partially) ordered sets: Representation theorems
partial orders ordering subsets of a poset
2010/9/20
In many practical situations, we have a (partially) ordered set V of different values. For example, we may have the set of all possible values of temperature, or the set of all possible degrees of con...
Synthesis of distributions through sets: A unitary approach
Mean of a distribution in a class probability metric
2010/9/26
This paper suggests a general framework for dealing in a unified way with the problem of the synthesis of a distribution through sets. Following this view, interesting methods and quantities of sinthe...
A rough sets partitioning model for incremental mining of sequential patterns in large databases
data mining incremental mining Sequential patterns
2010/9/26
Frequent sequential patterns mining finds intresting event sequences from various real world databases under study. However, most of real world databases are subject to updations with advancement of t...
Grauert's theorem for subanalytic open sets in real analytic manifolds
Grauert's theorem analytic manifolds
2010/11/23
By open neighbourhood of an open subset $\Omega$ of $\mathbb{R}^n$ we mean an open subset $\Omega'$ of $\mathbb{C}^n$ such that $\mathbb{R}^n\cap\Omega'=\Omega.$ A well known result of H. Grauert impl...
Non-landing hairs in Sierpinski curve Julia sets of transcendental entire maps
Sierpinski curve Julia sets of transcendental entire maps math
2010/11/22
We consider the family of transcendental entire maps given by $f_a(z)=a(z-(1-a))\exp(z+a)$ where $a$ is a complex parameter. Every map has a superattracting fixed point at $z=-a$ and an asymptotic va...
Rotation sets of invariant separating continua of annular homeomorphisms
annular homeomorphisms math
2010/11/19
Let $f$ be a homeomorphism of the closed annulus $A$ isotopic to the identity, and let $X\subset {\rm Int}A$ be an $f$-invariant continuum which separates $A$ into two domains, the upper domain $U_+$...
In this article, we first state some relations about the number of partitions of a set under some particular conditions and then we give a new relation about the number of partitions of an n-set, i.e....
A property related to non-measurable and non-Baire sets
measure zero cardinal σ-locally finite base
2010/9/15
In an earlier paper [1], the present author (along with D.K. Ganguly) has shown that given any non-measurable (in the sense of Lebesgue) subset of the real line R, these exists a class 〈E〉...
τ c Prefilters in Intuitionistic Fuzzy Sets
Intuitionistic fuzzy topology Prefilters Ultra filters
2010/9/15
The notion of fuzzy sets was introduced by L.A. Zadeh[9] and was extended to intuitionistic fuzzy subsets by K.Atanassov[1].The notions of fuzzy and intuitionistic fuzzy topological spaces were introd...
The number of certain rankings and hierarchies formed from labeled or unlabeled elements and sets
enumerative combinatorics rankings hierarchies
2010/9/17
Certain types of combinatorial rankings and hierarchies of labeled or unlabeled elements are presented along with their counting formulas.
Families of Sets with Intersecting Clusters
clusters of subsets Chvatal's simplex theorem d-simplex Erdos- Ko-Rado Theorem
2014/6/3
A family of k-subsets A1, A2,... , Ad on [n] = {1, 2,... , n} is called a (d, c)-cluster if the union A1 ∪ A2 ∪... ∪Ad contains at most ck elements with c < d. Let F be a family of k-subsets of an n-e...
Some cases of compatibility of the tangency relations of sets
generalized metric space tangency of sets
2009/1/12
In the present paper some cases of the compatibility of the tangency relations
Tli (a; b; k; p), (i = 1; 2) of sets of the classes eMp;k having the Darboux property
at the point p of the metric spac...
The investigation of some topologies on finite sets
finite set topology matreshka binomial coefficient
2009/1/7
The topologies on the finite sets are considered. The problems,
connected with the classification of the topologies, with the calculation of
the number of the topologies, which consist of the given ...