Every component of a fractal square is a Peano continuum
نویسندگان
چکیده
This paper concerns the local connectedness of components self-similar sets. Let n≥2 be an integer and let D⊂{0,1,…,n−1}2. The set F satisfying F=⋃d∈D(F+d)/n is called a fractal square. We prove that every component locally connected. same result for three-dimensional analogues does not hold.
منابع مشابه
Modules for which every non-cosingular submodule is a summand
A module $M$ is lifting if and only if $M$ is amply supplemented and every coclosed submodule of $M$ is a direct summand. In this paper, we are interested in a generalization of lifting modules by removing the condition"amply supplemented" and just focus on modules such that every non-cosingular submodule of them is a summand. We call these modules NS. We investigate some gen...
متن کاملEvery class of $S$-acts having a flatness property is closed under directed colimits
Let $S$ be a monoid. In this paper, we prove every class of $S$-acts having a flatness property is closed underdirected colimits, it extends some known results. Furthermore thisresult implies that every $S$-act has a flatness cover if and only if it has a flatness precover.
متن کاملEvery Monotone Open 2-homogeneous Metric Continuum Is Locally Connected
In [16, Theorem 3.12, p. 397], Ungar answered a question of Burgess [2] by showing that every 2-homogeneous metric continuum is locally connected. A short, elementary and elegant proof of this result has been given by Whittington [17] who has omitted a powerful result of Effros (viz. Theorem 2.1 of [4, p. 39]) used by Ungar. It is observed in this note that Whittington's proof can be applied to...
متن کاملa comparison of linguistic and pragmatic knowledge: a case of iranian learners of english
در این تحقیق دانش زبانشناسی و کاربردشناسی زبان آموزان ایرانی در سطح بالای متوسط مقایسه شد. 50 دانش آموز با سابقه آموزشی مشابه از شش آموزشگاه زبان مختلف در دو آزمون دانش زبانشناسی و آزمون دانش گفتار شناسی زبان انگلیسی شرکت کردند که سوالات هر دو تست توسط محقق تهیه شده بود. همچنین در این تحقیق کارایی کتابهای آموزشی زبان در فراهم آوردن درون داد کافی برای زبان آموزان ایرانی به عنوان هدف جانبی تحقیق ...
15 صفحه اولAlmost Every Number Has a Continuum of β-Expansions
where b·c denotes the integral part of a number and {·} stands for its fractional part. If x belongs to [1, 1/(β − 1)), then we put ` = min {k ≥ 1 : x− β−1 − · · · − β−k ∈ (0, 1)} and apply the greedy algorithm to x − β−1 − · · · − β to obtain the digits ε`+1, ε`+2, etc. Finally, if x = 1/(β − 1), then εn = 1 for all n. The question then arises: Are there any other β-expansions of a given x bes...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2022.108271