Extendability to Marczewski-Burstin countably representable ideals

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2024-11-09 DOI:10.1016/j.topol.2024.109134

Marta Kwela, Jacek Tryba

引用次数: 0

Abstract

In the article we consider Marczewski-Burstin countably representable (in short:

MBC

) ideals. We propose a concept of extendability to

MBC

ideals and provide some of its properties like the fact that it lies between the notions of ω-+-diagonalizability and countable separability. We also answer the question posed in [Topology Appl. 248 (2018), 149–163], by showing that the ideal

J_{c}

is not

MBC

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扩展到马茨维斯基-布尔斯坦可数可表示理想的可扩展性

在这篇文章中，我们考虑了 Marczewski-Burstin可数可表示（简称：MBC）理想。我们提出了MBC理想的可扩展性概念，并提供了它的一些性质，比如它介于ω-+对角线化概念和可数可分性概念之间。我们还回答了[Topology Appl. 248 (2018), 149-163]中提出的问题，证明了理想 Jc 不是 MBC。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.