On productively Lindel\"of spaces
Franklin D. Tall, Boaz Tsaban
TL;DR
This paper investigates the class of spaces that, when multiplied with any Lindel"of space, remain Lindel"of, providing new results under the assumption of the Continuum Hypothesis.
Contribution
It offers new insights into productively Lindel"of spaces with additional properties, advancing understanding in this area under set-theoretic assumptions.
Findings
Established new results on productively Lindel"of spaces
Analyzed the impact of the Continuum Hypothesis on these spaces
Extended known properties of Lindel"of spaces in product settings
Abstract
The class of spaces such that their product with every Lindel\"of space is Lindel\"of is not well-understood. We prove a number of new results concerning such productively Lindel\"of spaces with some extra property, mainly assuming the Continuum Hypothesis.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Rings, Modules, and Algebras · Advanced Algebra and Logic