Mazurkiewicz sets with no well-ordering of the reals-Reference-Cited by-同舟云学术

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Mazurkiewicz sets with no well-ordering of the reals

Published:2022-03-17 Issue:3 Volume:29 Page:343-345
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Beriashvili Mariam¹,Schindler Ralf²

Affiliation:

1. I. Vekua Institute of Applied Mathematics if I. Javakhishvili Tbilisi State University , 2 University Str., 0186; and Georgian Technical University, 77 Kostava Str. , Tbilisi 0177 , Georgia

2. Institut für Mathematische Logik und Grundlagenforschung , Universität Münster , Münster , Germany

Abstract

Abstract There is a Mazurkiewicz set in the Cohen–Halpern–Levy model.

Funder

Shota Rustaveli National Science Foundation

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2142/pdf

Reference9 articles.

1. M. Beriashvili, R. Schindler, L. Wu and L. Yu, Hamel bases and well-ordering the continuum, Proc. Amer. Math. Soc. 146 (2018), no. 8, 3565–3573.

2. B. Chad, R. Knight and R. Suabedissen, Set-theoretic constructions of two-point sets, Fund. Math. 203 (2009), no. 2, 179–189.

3. B. R. Gelbaum and J. M. H. Olmsted, Counterexamples in Analysis, Holden-Day, San Francisco, 1964.

4. A. B. Kharazishvili, Nonmeasurable Sets and Functions, North-Holland Math. Stud. 195, Elsevier Science, Amsterdam, 2004.

5. A. B. Kharazishvili, Elements of Combinatorial Geometry. Part I, Georgian National Academy of Sciences, Tbilisi, 2016.

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