Star-covering properties: generalized $\Psi$-spaces, countability conditions, reflection
L.P. Aiken
TL;DR
This paper explores star-covering properties of generalized $ ext{ extbackslash Psi}$-spaces, demonstrating reflection of star-Lindelöfness via open perfect maps and establishing a new equivalence related to the Continuum Hypothesis.
Contribution
It introduces new results on the reflection of star-Lindelöfness and provides a novel equivalence of the Continuum Hypothesis within the context of $ ext{ extbackslash Psi}$-spaces.
Findings
Star-Lindelöfness is reflected by open perfect mappings.
A new equivalence of the Continuum Hypothesis is established.
The paper advances understanding of star-covering properties in generalized $ ext{ extbackslash Psi}$-spaces.
Abstract
We investigate star-covering properties of -like spaces. We show star-Lindel\"ofness is reflected by open perfect mappings. In addition, we offer a new equivalence of CH.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Advanced Algebra and Logic