$C$-embedding, Lindelöfness, and Čech-completeness
Keywords:
$C$-embedding, Lindelöf, Čech-complete, product, perfect preimageAbstract
We show that in the class of Lindelöf Čech-complete spaces the property of being $C$-embedded is quite well-behaved. It admits a useful characterization that can be used to show that products and perfect preimages of $C$-embedded spaces are again $C$-embedded. We also show that both properties, Lindelöf and Čech-complete, are needed in the product result.
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