相关论文: Some remarks about Cantor sets

In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.

We report about the state of the art on complex and real generic identifiability of tensors, we describe some of our recent results obtained in [6] and we present perspectives on the subject.

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

We discuss how countable subadditivity of operators can be derived from subadditivity under mild forms of continuity, and provide examples manifesting such circumstances.

I survey problems concerning Lindelof spaces which have partial set- theoretic solutions.

Some notes and observations on analytic functions defined on an annulus

I give a brief review of the parton model.

These informal notes briefly discuss some basic topics involving Lipschitz functions, connectedness, and Hausdorff content in particular.

We prove a Khintchine type theorem for approximation of elements in the Cantor set, as a subset of the formal Laurent series over $\mathbb{F}_3$, by rational functions of a specific type. Furthermore we construct elements in the Cantor set…

The purpose of this paper is to construct topology on vague soft sets. The concept of vague soft topology is introduced and its basic properties are given.

These notes are connected to a "potpourri" topics class and deal with some basic issues involving norms and convexity.

In the present article, modeling certain rational numbers, that are represented in terms of Cantor series, are described. The statements on relations between digits in the representations of rational numbers by Cantor series (for the case…

The present article is devoted to representations of rational numbers in terms sign-variable Cantor expansions. The main attention is given to one of the discussions given by J. Galambos in [4].

We shed the light on the inter-connections between different characterizations leading to the classical, free and quantum Meixner families.

In this article we study the centralizer of a minimal aperiodic action of a countable group on the Cantor set (an aperiodic minimal Cantor system). We show that any countable residually finite group is the subgroup of the centralizer of…

Several results about the union-closed sets conjecture are presented.

The aim of this note is to share the observation that the set of elementary operations of Turing on lattice knots can be reduced to just one type of simple local switches.

We give a heuristic for the number of reduced rationals on Cantor's middle thirds set, with a fixed bound on the denominator. We also describe extensive numerical computations supporting this heuristic.

We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.

In a stable abelian group, we characterize generic types of cosets of type-definable subgroups.