Abstract
We introduce and study several subclasses of the class of σ-spaces. The smallest of the classes considered, that of LF-netted spaces, contains all F σ -discrete spaces and all stratifiable F σ -metrizable spaces. The main result of the paper establishes the equivalence of normality and countable paracompactness of the product of an LF-netted space with a countably paracompact and normal space.
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