Productivity of cellular-Lindelof spaces
Alan Dow, Robert M. Stephenson
TL;DR
This paper demonstrates that the product of a cellular Lindelof space with a space of countable spread does not necessarily preserve the cellular-Lindelof property, highlighting limitations in the behavior of these spaces under product operations.
Contribution
It provides a counterexample showing that the product of a cellular Lindelof space with a space of countable spread may fail to be cellular-Lindelof, which was previously unknown.
Findings
Product of cellular Lindelof space and countable spread space need not be cellular-Lindelof
Counterexample illustrating the failure of property preservation
Highlights limitations in product behavior of these spaces
Abstract
The main purpose of this note is to prove that the product of a cellular Lindelof space with a space of countable spread need not be cellular-Lindelof.
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