A Mazurkiewicz set containing the graph of a Sierpiński–Zygmund function-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

A Mazurkiewicz set containing the graph of a Sierpiński–Zygmund function

Published:2024-04-24 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Kharazishvili Alexander¹

Affiliation:

1. A. Razmadze Mathematical Institute of I. Javakhishvili Tbilisi State University , 2 Merab Aleksidze II lane, 0193; and I. Vekua Institute of Applied Mathematics of I. Javakhishvili Tbilisi State University, 2 University Str. , Tbilisi 0186 , Georgia

Abstract

Abstract It is shown that there exists a Mazurkiewicz subset of the Euclidean plane containing the graph of some Sierpiński–Zygmund function.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2024-2023/pdf

Reference19 articles.

1. M. N. Charatonik and W. J. Charatonik, On Mazurkiewicz sets, Comment. Math. Univ. Carolin. 41 (2000), no. 4, 817–819.

2. K. Ciesielski, Set-theoretic real analysis, J. Appl. Anal. 3 (1997), no. 2, 143–190.

3. K. C. Ciesielski and J. B. Seoane-Sepúlveda, Differentiability versus continuity: Restriction and extension theorems and monstrous examples, Bull. Amer. Math. Soc. (N. S.) 56 (2019), no. 2, 211–260.

4. R. O. Davies, Covering the plane with denumerably many curves, J. Lond. Math. Soc. 38 (1963), 433–438.

5. R. O. Davies, Covering space with denumerably many curves, Bull. Lond. Math. Soc. 6 (1974), 189–190.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP